{"id":62975,"date":"2020-08-03T19:07:44","date_gmt":"2020-08-03T18:07:44","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=62975"},"modified":"2026-10-21T09:20:54","modified_gmt":"2026-10-21T08:20:54","slug":"cours-en-ligne-figures-geometriques","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/","title":{"rendered":"Cours en ligne sur les figures g\u00e9om\u00e9triques"},"content":{"rendered":"<div class=\"Latex_page\">\n<section class=\"has_ae_slider elementor-element elementor-section-full_width elementor-reverse-mobile elementor-section-stretched elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default elementor-section elementor-top-section\">\n<div class=\"elementor-container elementor-column-gap-no\">\n<div class=\"elementor-row\">\n<div class=\"elementor-column-wrap elementor-element-populated colone_latex\">\n<div class=\"style_pag\" style=\"color: #000; font-family: 'Lato', Sans-serif;\">\n<div class=\"Latex_page\">\n<section class=\"has_ae_slider elementor-element elementor-section-full_width elementor-reverse-mobile elementor-section-stretched elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default elementor-section elementor-top-section\">\n<div class=\"elementor-container elementor-column-gap-no\">\n<div class=\"elementor-row\">\n<div class=\"elementor-column-wrap elementor-element-populated colone_elementor\">\n<p style=\"text-align: justify;\">\n<p style=\"text-align: justify;\">\t\t<div data-elementor-type=\"page\" data-elementor-id=\"86176\" class=\"elementor elementor-86176\">\n\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-6f9fb2b3 elementor-section-content-bottom elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"6f9fb2b3\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5032621c sticky_badeau_colone strick_col ae-bg-gallery-type-default\" data-id=\"5032621c\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-611bd75f elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"611bd75f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-55718945 strick_col ae-bg-gallery-type-default\" data-id=\"55718945\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5940f45c elementor-widget elementor-widget-heading\" data-id=\"5940f45c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-tage-mage\/\">Cours en ligne Tage Mage <\/a><\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f9bc725 elementor-widget elementor-widget-heading\" data-id=\"f9bc725\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\">Chapitres du sous-test 2 du Tage Mage<\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-56c02cf0 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"56c02cf0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fractions\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Fractions<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-390da5ff elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"390da5ff\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pourcentages\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Pourcentages<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-da8d658 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"da8d658\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-algebre\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Alg\u00e8bre<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-490ac2aa elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"490ac2aa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">G\u00e9om\u00e9trie<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3fd40310 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"3fd40310\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-vitesse\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Vitesse<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6edf1c7e elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"6edf1c7e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-arithmetique\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Arithm\u00e9tique<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f2c805 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4f2c805\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-puissances\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Puissances<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-447b658 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"447b658\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-regle-de-trois\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Proportionnalit\u00e9<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53863aa elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"53863aa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-denombrement\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">D\u00e9nombrement<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-11741389 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"11741389\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-probabilites\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Probabilit\u00e9s<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6ace8ace elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"6ace8ace\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-moyenne-arithmetique-moyenne-ponderee\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Moyenne<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-13f1db2f elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"13f1db2f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-pythagore\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Th\u00e9or\u00e8me de Pythagore<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-10d04684 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"10d04684\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Th\u00e9or\u00e8me de Thal\u00e8s<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-691a3a8a elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"691a3a8a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-racines-carrees\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Racines Carr\u00e9es<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2a5f7bd6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"2a5f7bd6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/nous-contacter\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">CONTACTEZ-NOUS<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-column-wrap elementor-element-populated colone_latex\" style=\"text-align: justify;\">\n<div class=\"style_pag\" style=\"color: #000; font-family: 'Lato', Sans-serif;\">\n<div class=\"elementor-text-editor elementor-clearfix\" style=\"color: #000000; font-family: Lato, sans-serif;\">\n<h1 class=\"Latex_page_title\" style=\"text-align: center;\">Figures g\u00e9om\u00e9triques : noms, propri\u00e9t\u00e9s et formules<\/h1>\n<p><em>Par Seda Biber, le 21\/10\/2026<\/em><\/p>\n<\/div>\n<p class=\"colone_latex_ancres\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: center;\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/\">R\u00e9sum\u00e9 de cours<\/a> <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-figures-geometriques\/\">Exercices et corrig\u00e9s<\/a><\/p>\n<p class=\"colone_latex_ancres\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: center;\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-tage-mage\/\">Cours en ligne du Tage Mage<\/a><\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">Une <strong>figure g\u00e9om\u00e9trique<\/strong> est un dessin form\u00e9 de points, de segments ou de courbes. On distingue les <strong>figures planes<\/strong>, trac\u00e9es sur une feuille (triangle, carr\u00e9, rectangle, losange, cercle\u2026), et les <strong>solides<\/strong>, qui ont un volume (cube, pav\u00e9, cylindre, boule\u2026). Pour chaque figure, il faut conna\u00eetre son nom, ses propri\u00e9t\u00e9s et trois formules : le <strong>p\u00e9rim\u00e8tre<\/strong> (la longueur du contour), l&rsquo;<strong>aire<\/strong> (la surface) et, pour les solides, le <strong>volume<\/strong>. Ces formules servent du CM1 au brevet, puis dans les \u00e9preuves de calcul du <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-tage-mage\/\">Tage Mage<\/a>. Si la g\u00e9om\u00e9trie vous pose probl\u00e8me, des <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\">cours particuliers de maths<\/a> ou un <a href=\"https:\/\/groupe-reussite.fr\/stages\/toutes-matieres\/tous-niveaux\/france\/toutes-periodes\/\">stage intensif<\/a> permettent de reprendre les bases.<\/p>\n<h2 dir=\"ltr\">R\u00e9sum\u00e9 : les formules des figures g\u00e9om\u00e9triques planes<\/h2>\n<table class=\"table\" style=\"width: 100%; border-color: #0F2742; color: #0f2742; background: #ffffff;\">\n<tbody>\n<tr>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Figure<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>P\u00e9rim\u00e8tre<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Aire<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Carr\u00e9<\/strong> de c\u00f4t\u00e9 a<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4a73d28934f7d95ef97a09ad34d18e93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-062e6b90a0da4787460d4a5d0845624c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: 0px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Rectangle<\/strong> de longueur L et de largeur l<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-096477234ce52086d7094bde62b1a780_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#40;&#76;&#43;&#108;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"61\" style=\"vertical-align: -5px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-463b88a48e2379f8e96f380c7fffdaa1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#76;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#108;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"39\" style=\"vertical-align: 0px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Triangle<\/strong> de base b et de hauteur h<\/td>\n<td style=\"border: 1px solid #0F2742;\">Somme des trois c\u00f4t\u00e9s<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-37bc3a3cc3bb028362609baaf589ade4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#98;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#104;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"40\" style=\"vertical-align: -12px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Triangle \u00e9quilat\u00e9ral<\/strong> de c\u00f4t\u00e9 a<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-93f1aa14d7e136b749502c16e25f5975_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2a3df2be419c0a3b3e820715b64ba6f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#94;&#50;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"41\" style=\"vertical-align: -12px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Parall\u00e9logramme<\/strong> de c\u00f4t\u00e9s a et b, de hauteur h relative \u00e0 b<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d75a9ef8047ce82c96ba3a813b2a0666_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#40;&#97;&#43;&#98;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"61\" style=\"vertical-align: -5px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6f83d3e6ee34e541594938b40451175c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#104;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"39\" style=\"vertical-align: 0px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Losange<\/strong> de c\u00f4t\u00e9 a et de diagonales D et d<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4a73d28934f7d95ef97a09ad34d18e93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-518581b736b970581e640d981a6390a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#68;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#100;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"47\" style=\"vertical-align: -12px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Trap\u00e8ze<\/strong> de bases B et b, de hauteur h<\/td>\n<td style=\"border: 1px solid #0F2742;\">Somme des quatre c\u00f4t\u00e9s<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-17821a08afac0ffed7934bda3e980ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#40;&#66;&#43;&#98;&#41;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#104;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"90\" style=\"vertical-align: -12px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Cercle et disque<\/strong> de rayon r<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9b97ad6a9137d9b457ba677c26d08ae3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#92;&#112;&#105;&#32;&#114;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: 0px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0996f3dc9d054c9d35e7c619d8d047e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#105;&#32;&#114;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"\/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div class=\"style_pag\" style=\"color: #000; font-family: 'Lato', Sans-serif;\">\n<p dir=\"ltr\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"186409\" class=\"elementor elementor-186409\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-208557d4 elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"208557d4\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-5c1307a9 ae-bg-gallery-type-default\" data-id=\"5c1307a9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a42a1b elementor-widget elementor-widget-heading\" data-id=\"a42a1b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">AVOIR LES MEILLEURS PROFS DE MATHS<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53b6892b elementor-widget elementor-widget-heading\" data-id=\"53b6892b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">C'est gagner en autonomie<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-339aefc1 elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"339aefc1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours de maths particulier<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-461d5d63 ae-bg-gallery-type-default\" data-id=\"461d5d63\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<h2 dir=\"ltr\">Qu&rsquo;est-ce qu&rsquo;une figure g\u00e9om\u00e9trique ?<\/h2>\n<p dir=\"ltr\">En math\u00e9matiques, une figure g\u00e9om\u00e9trique est un ensemble de points. Il en existe deux grandes familles :<\/p>\n<ul>\n<li><strong>Les figures planes<\/strong> (en 2D) se tracent sur une feuille. Celles dont le contour est fait uniquement de segments s&rsquo;appellent des <strong>polygones<\/strong> : triangle, quadrilat\u00e8re, pentagone\u2026 Le cercle n&rsquo;est pas un polygone, car son contour est une courbe.<\/li>\n<li><strong>Les solides<\/strong> (en 3D) occupent un volume : cube, pav\u00e9 droit, prisme, cylindre, pyramide, c\u00f4ne, boule.<\/li>\n<\/ul>\n<p dir=\"ltr\">Dans la vie courante, on parle souvent de <strong>forme g\u00e9om\u00e9trique<\/strong>. Les programmes de l&rsquo;\u00c9ducation nationale emploient plut\u00f4t les mots \u00ab figure plane \u00bb et \u00ab solide \u00bb, mais les deux expressions d\u00e9signent les m\u00eames objets.<\/p>\n<h2 dir=\"ltr\">Quels sont les noms des figures g\u00e9om\u00e9triques ?<\/h2>\n<p dir=\"ltr\">Un polygone tire son nom de son nombre de c\u00f4t\u00e9s. Le pr\u00e9fixe vient du grec : \u00ab penta \u00bb signifie cinq, \u00ab hexa \u00bb six, \u00ab octo \u00bb huit.<\/p>\n<table class=\"table\" style=\"width: 100%; border-color: #0F2742; color: #0f2742; background: #ffffff;\">\n<tbody>\n<tr>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Nombre de c\u00f4t\u00e9s<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Nom du polygone<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Exemple courant<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">3<\/td>\n<td style=\"border: 1px solid #0F2742;\"><strong>Triangle<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Panneau \u00ab c\u00e9dez le passage \u00bb<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">4<\/td>\n<td style=\"border: 1px solid #0F2742;\"><strong>Quadrilat\u00e8re<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Carr\u00e9, rectangle, losange, trap\u00e8ze<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">5<\/td>\n<td style=\"border: 1px solid #0F2742;\"><strong>Pentagone<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Faces d&rsquo;un ballon de football<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">6<\/td>\n<td style=\"border: 1px solid #0F2742;\"><strong>Hexagone<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Alv\u00e9ole de ruche<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">7<\/td>\n<td style=\"border: 1px solid #0F2742;\"><strong>Heptagone<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\"><em>Peu courant<\/em><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">8<\/td>\n<td style=\"border: 1px solid #0F2742;\"><strong>Octogone<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Panneau \u00ab stop \u00bb<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">9<\/td>\n<td style=\"border: 1px solid #0F2742;\"><strong>Enn\u00e9agone<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\"><em>Peu courant<\/em><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">10<\/td>\n<td style=\"border: 1px solid #0F2742;\"><strong>D\u00e9cagone<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\"><em>Peu courant<\/em><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">12<\/td>\n<td style=\"border: 1px solid #0F2742;\"><strong>Dod\u00e9cagone<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\"><em>Peu courant<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p dir=\"ltr\">Un polygone est <strong>r\u00e9gulier<\/strong> quand tous ses c\u00f4t\u00e9s ont la m\u00eame longueur et tous ses angles la m\u00eame mesure. Le triangle \u00e9quilat\u00e9ral et le carr\u00e9 sont les polygones r\u00e9guliers \u00e0 3 et 4 c\u00f4t\u00e9s.<\/p>\n<h2 dir=\"ltr\">Quelles sont les propri\u00e9t\u00e9s des triangles ?<\/h2>\n<p dir=\"ltr\">Dans tout triangle, <strong>la somme des trois angles vaut 180\u00b0<\/strong>. Trois triangles particuliers sont \u00e0 conna\u00eetre :<\/p>\n<ul>\n<li><strong>Le triangle rectangle<\/strong> a un angle droit. Le c\u00f4t\u00e9 oppos\u00e9 \u00e0 l&rsquo;angle droit s&rsquo;appelle l&rsquo;hypot\u00e9nuse. On calcule les longueurs avec le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-pythagore\/\">th\u00e9or\u00e8me de Pythagore<\/a>.<\/li>\n<li><strong>Le triangle isoc\u00e8le<\/strong> a deux c\u00f4t\u00e9s de m\u00eame longueur. Ses deux angles \u00e0 la base sont \u00e9gaux.<\/li>\n<li><strong>Le triangle \u00e9quilat\u00e9ral<\/strong> a trois c\u00f4t\u00e9s de m\u00eame longueur et trois angles de 60\u00b0.<\/li>\n<\/ul>\n<p dir=\"ltr\">Pour un triangle \u00e9quilat\u00e9ral de c\u00f4t\u00e9 a, la hauteur vaut <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-da857077b21b0ed2a54a2937648e1222_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"34\" style=\"vertical-align: -12px;\"\/> et l&rsquo;aire <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2a3df2be419c0a3b3e820715b64ba6f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#94;&#50;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"41\" style=\"vertical-align: -12px;\"\/>.<\/p>\n<p dir=\"ltr\">Exemple : triangle \u00e9quilat\u00e9ral de c\u00f4t\u00e9 6 cm<\/p>\n<ul>\n<li>Hauteur : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-717e26d649f58feb5c657cd1fea9663a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#54;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#125;&#123;&#50;&#125;&#61;&#51;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#53;&#123;&#44;&#125;&#50;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"146\" style=\"vertical-align: -12px;\"\/> cm<\/li>\n<li>Aire : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-dd04509518f75ca7d7d66ea7ea2725fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#54;&#94;&#50;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#125;&#123;&#52;&#125;&#61;&#57;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#49;&#53;&#123;&#44;&#125;&#53;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"163\" style=\"vertical-align: -12px;\"\/> cm\u00b2<\/li>\n<\/ul>\n<div style=\"background: #FFF8EC; border-left: 6px solid #C77F0C; padding: 15px; margin: 20px 0; color: #0f2742;\"><strong>&#x1f4a1; Astuce :<\/strong> dans la formule de l&rsquo;aire du triangle, la hauteur doit \u00eatre perpendiculaire \u00e0 la base choisie. Pour un triangle rectangle, les deux c\u00f4t\u00e9s de l&rsquo;angle droit jouent ces deux r\u00f4les : l&rsquo;aire vaut leur produit divis\u00e9 par 2.<\/div>\n<p dir=\"ltr\">Le <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5aa3fe0ad89cf65f34b5c880c078356e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"9\" style=\"vertical-align: -12px;\"\/> de la formule se retrouve dans le cours sur les <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fractions\/\">fractions<\/a> : un triangle rectangle est la moiti\u00e9 d&rsquo;un rectangle coup\u00e9 par sa diagonale.<\/p>\n<h2 dir=\"ltr\">Quelles sont les propri\u00e9t\u00e9s des quadrilat\u00e8res ?<\/h2>\n<table class=\"table\" style=\"width: 100%; border-color: #0F2742; color: #0f2742; background: #ffffff;\">\n<tbody>\n<tr>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Quadrilat\u00e8re<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>C\u00f4t\u00e9s et angles<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Diagonales<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Parall\u00e9logramme<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">C\u00f4t\u00e9s oppos\u00e9s parall\u00e8les et de m\u00eame longueur<\/td>\n<td style=\"border: 1px solid #0F2742;\">Se coupent en leur milieu<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Rectangle<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Parall\u00e9logramme avec quatre angles droits<\/td>\n<td style=\"border: 1px solid #0F2742;\">Se coupent en leur milieu et ont la m\u00eame longueur<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Losange<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Parall\u00e9logramme avec quatre c\u00f4t\u00e9s de m\u00eame longueur<\/td>\n<td style=\"border: 1px solid #0F2742;\">Se coupent en leur milieu et sont perpendiculaires<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Carr\u00e9<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Quatre c\u00f4t\u00e9s \u00e9gaux et quatre angles droits<\/td>\n<td style=\"border: 1px solid #0F2742;\">M\u00eame milieu, m\u00eame longueur et perpendiculaires<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Trap\u00e8ze<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Deux c\u00f4t\u00e9s oppos\u00e9s parall\u00e8les, appel\u00e9s bases<\/td>\n<td style=\"border: 1px solid #0F2742;\"><em>Pas de propri\u00e9t\u00e9 particuli\u00e8re<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"background: #FFF8EC; border-left: 6px solid #C77F0C; padding: 15px; margin: 20px 0; color: #0f2742;\"><strong>&#x1f4a1; Astuce :<\/strong> un carr\u00e9 est \u00e0 la fois un rectangle (il a quatre angles droits) et un losange (il a quatre c\u00f4t\u00e9s \u00e9gaux). Il poss\u00e8de donc toutes les propri\u00e9t\u00e9s de ces deux figures.<\/div>\n<p dir=\"ltr\">La diagonale d&rsquo;un carr\u00e9 de c\u00f4t\u00e9 a mesure <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f71442e52a8352f2d2315280b9ee15fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#92;&#115;&#113;&#114;&#116;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"33\" style=\"vertical-align: -2px;\"\/>, et celle d&rsquo;un rectangle de c\u00f4t\u00e9s L et l mesure <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e11d5b5bc299441aab3dbe1475dc58fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#123;&#76;&#94;&#50;&#43;&#108;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"69\" style=\"vertical-align: -2px;\"\/>. Ces deux formules viennent du th\u00e9or\u00e8me de Pythagore. Pour un carr\u00e9 de 5 cm de c\u00f4t\u00e9 : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b4b72acecfc54ad369c37a62577aa38c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#92;&#115;&#113;&#114;&#116;&#123;&#50;&#125;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#55;&#123;&#44;&#125;&#48;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -4px;\"\/> cm. Le cours sur les <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-racines-carrees\/\">racines carr\u00e9es<\/a> explique comment manipuler <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0f51c9c2ccb4ec4dcca8926b645d14c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"23\" style=\"vertical-align: -2px;\"\/>.<\/p>\n<p dir=\"ltr\">Exemple : un losange a des diagonales de 10 cm et 24 cm.<\/p>\n<ul>\n<li>Aire : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-11224d3e0bd97bcbb6a1189c029b6a5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#50;&#52;&#125;&#123;&#50;&#125;&#61;&#49;&#50;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"110\" style=\"vertical-align: -12px;\"\/> cm\u00b2<\/li>\n<li>Les diagonales se coupent en leur milieu \u00e0 angle droit. Chaque c\u00f4t\u00e9 est donc l&rsquo;hypot\u00e9nuse d&rsquo;un triangle rectangle de c\u00f4t\u00e9s 5 cm et 12 cm : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-bbd7d22e5a59333c28b02d7a706f9254_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#123;&#53;&#94;&#50;&#43;&#49;&#50;&#94;&#50;&#125;&#61;&#92;&#115;&#113;&#114;&#116;&#123;&#49;&#54;&#57;&#125;&#61;&#49;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"184\" style=\"vertical-align: -2px;\"\/> cm. Le p\u00e9rim\u00e8tre vaut <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7a53fb61f76751a134146da0f56ac2da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#51;&#61;&#53;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"89\" style=\"vertical-align: 0px;\"\/> cm.<\/li>\n<\/ul>\n<p dir=\"ltr\">Pour l&rsquo;aire du trap\u00e8ze, on multiplie la hauteur par la <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-moyenne-arithmetique-moyenne-ponderee\/\">moyenne<\/a> des deux bases. Avec B = 10 cm, b = 6 cm et h = 4 cm : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c3a697410288971f739df12b819f21f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#48;&#43;&#54;&#125;&#123;&#50;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#52;&#61;&#56;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#52;&#61;&#51;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"184\" style=\"vertical-align: -12px;\"\/> cm\u00b2.<\/p>\n<h2 dir=\"ltr\">Comment calculer le p\u00e9rim\u00e8tre et l&rsquo;aire d&rsquo;un cercle ?<\/h2>\n<p dir=\"ltr\">Le <strong>cercle<\/strong> est l&rsquo;ensemble des points situ\u00e9s \u00e0 la m\u00eame distance (le rayon r) d&rsquo;un point appel\u00e9 centre. Le <strong>disque<\/strong> est la surface d\u00e9limit\u00e9e par ce cercle. On calcule donc le p\u00e9rim\u00e8tre d&rsquo;un cercle et l&rsquo;aire d&rsquo;un disque.<\/p>\n<ul>\n<li>P\u00e9rim\u00e8tre : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9b97ad6a9137d9b457ba677c26d08ae3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#92;&#112;&#105;&#32;&#114;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: 0px;\"\/>, ou <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-26817bda43924cbb6e7ba8a95b78d85c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#105;&#32;&#100;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"21\" style=\"vertical-align: 0px;\"\/> avec d le diam\u00e8tre (<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8555898f6852f975d8aa259fdbfa726b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#61;&#50;&#114;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"50\" style=\"vertical-align: 0px;\"\/>)<\/li>\n<li>Aire : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0996f3dc9d054c9d35e7c619d8d047e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#105;&#32;&#114;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"\/><\/li>\n<\/ul>\n<p dir=\"ltr\">Exemple : disque de rayon 3 cm. P\u00e9rim\u00e8tre : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a34b0ad2a96039440e165c6cac59146b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#92;&#116;&#105;&#109;&#101;&#115;&#92;&#112;&#105;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#51;&#61;&#54;&#92;&#112;&#105;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#49;&#56;&#123;&#44;&#125;&#56;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"178\" style=\"vertical-align: -4px;\"\/> cm. Aire : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6f1dd90eaab3debc8f68b7f2dba75050_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#105;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#51;&#94;&#50;&#61;&#57;&#92;&#112;&#105;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#50;&#56;&#123;&#44;&#125;&#50;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"156\" style=\"vertical-align: -4px;\"\/> cm\u00b2.<\/p>\n<p dir=\"ltr\">Le p\u00e9rim\u00e8tre est <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-regle-de-trois\/\">proportionnel<\/a> au diam\u00e8tre, avec \u03c0 comme coefficient : si le diam\u00e8tre double, le p\u00e9rim\u00e8tre double. Cette formule sert aussi en probl\u00e8me de <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-vitesse\/\">vitesse<\/a> : un coureur qui fait 10 tours d&rsquo;une piste circulaire de 50 m de rayon parcourt <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3d4fe26152a035c249e9a2a18712e4d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#50;&#92;&#112;&#105;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#53;&#48;&#92;&#97;&#112;&#112;&#114;&#111;&#120;&#32;&#51;&#92;&#44;&#49;&#52;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"159\" style=\"vertical-align: 0px;\"\/> m.<\/p>\n<h2 dir=\"ltr\">Quelles sont les formules des polygones r\u00e9guliers ?<\/h2>\n<p dir=\"ltr\">Pour un polygone r\u00e9gulier \u00e0 n c\u00f4t\u00e9s :<\/p>\n<ul>\n<li>Somme des angles int\u00e9rieurs : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3e238f5ae76dbde2e2da1bc906239d3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#110;&#45;&#50;&#41;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#56;&#48;&deg;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" style=\"vertical-align: -5px;\"\/><\/li>\n<li>Mesure d&rsquo;un angle int\u00e9rieur : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-bf0ebeda98bb65de8fd2b24c9bbd393e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#40;&#110;&#45;&#50;&#41;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#56;&#48;&deg;&#125;&#123;&#110;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"104\" style=\"vertical-align: -12px;\"\/><\/li>\n<li>Angle au centre : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2f74761b08f3a9115933ada2dd841c24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#54;&#48;&deg;&#125;&#123;&#110;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"27\" style=\"vertical-align: -12px;\"\/><\/li>\n<li>Nombre de diagonales : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf69babd6e3bf4a43388b54b675f387_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#110;&#40;&#110;&#45;&#51;&#41;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"66\" style=\"vertical-align: -12px;\"\/> (cette derni\u00e8re formule vaut pour tout polygone, r\u00e9gulier ou non)<\/li>\n<\/ul>\n<p dir=\"ltr\">Exemple : l&rsquo;hexagone r\u00e9gulier (n = 6)<\/p>\n<ul>\n<li>Somme des angles : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-aba2dab23790ad94e01e2a5c72bb0451_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#56;&#48;&deg;&#61;&#55;&#50;&#48;&deg;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"108\" style=\"vertical-align: 0px;\"\/><\/li>\n<li>Angle int\u00e9rieur : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-58ae9fd21fce77ba9b2be56086626f55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#55;&#50;&#48;&deg;&#125;&#123;&#54;&#125;&#61;&#49;&#50;&#48;&deg;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"79\" style=\"vertical-align: -12px;\"\/><\/li>\n<li>Angle au centre : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a5065f2feab616acd7dfc9f55a5bf7a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#51;&#54;&#48;&deg;&#125;&#123;&#54;&#125;&#61;&#54;&#48;&deg;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"70\" style=\"vertical-align: -12px;\"\/><\/li>\n<li>Diagonales : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f98f2862e08f689ad6fa0492363aedb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#54;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#51;&#125;&#123;&#50;&#125;&#61;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"74\" style=\"vertical-align: -12px;\"\/><\/li>\n<\/ul>\n<p dir=\"ltr\">La formule des diagonales se d\u00e9montre par <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-denombrement\/\">d\u00e9nombrement<\/a> : avec n sommets, on forme <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-308ec242bbe51ca9d742cceb58a499ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#110;&#40;&#110;&#45;&#49;&#41;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"66\" style=\"vertical-align: -12px;\"\/> segments, dont n sont des c\u00f4t\u00e9s. L&rsquo;angle au centre est un nombre entier de degr\u00e9s seulement si n divise 360, une question de diviseurs trait\u00e9e en <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-arithmetique\/\">arithm\u00e9tique<\/a>.<\/p>\n<h2 dir=\"ltr\">Quelles sont les formules des solides ?<\/h2>\n<table class=\"table\" style=\"width: 100%; border-color: #0F2742; color: #0f2742; background: #ffffff;\">\n<tbody>\n<tr>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Solide<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Volume<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Aire<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Cube<\/strong> d&rsquo;ar\u00eate a<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e3165a95804cff20b04a27af345935e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: 0px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\">Totale : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-67c87db91cfbe85d3e19ea60a688f4dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#97;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"25\" style=\"vertical-align: 0px;\"\/> ; lat\u00e9rale : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a56add5d8fa8a3aaf4f25ce59e44aa1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#97;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"25\" style=\"vertical-align: 0px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Pav\u00e9 droit<\/strong> de dimensions L, l, h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2edf4e2365e61b92333679912c3399a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#76;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#108;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#104;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"71\" style=\"vertical-align: 0px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\">Totale : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-01f8dec9fa41c906ebfe4a04f51150bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#40;&#76;&#108;&#43;&#76;&#104;&#43;&#108;&#104;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Prisme droit<\/strong> de base B et de hauteur h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1a64841a1b250b27ab694a607a47e6f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#104;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"46\" style=\"vertical-align: 0px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\">Lat\u00e9rale : p\u00e9rim\u00e8tre de la base \u00d7 h<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Cylindre<\/strong> de rayon r et de hauteur h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-842f011f56f44f44e737a579e6c25e4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#105;&#32;&#114;&#94;&#50;&#32;&#104;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: 0px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\">Lat\u00e9rale : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c1d6cb38c2dc751158616dde718ad3d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#92;&#112;&#105;&#32;&#114;&#32;&#104;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"38\" style=\"vertical-align: 0px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Pyramide<\/strong> de base B et de hauteur h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3fcdd8fc59829a8602170478a5931ceb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#66;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#104;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"47\" style=\"vertical-align: -12px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\">Aire de la base + aires des faces triangulaires<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>C\u00f4ne<\/strong> de rayon r et de hauteur h<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-bbd7dd42f19e870915f090b816c64b14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#112;&#105;&#32;&#114;&#94;&#50;&#32;&#104;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"38\" style=\"vertical-align: -12px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\">Lat\u00e9rale : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4a7b52e755a69722f85ca4540bc73b00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#105;&#32;&#114;&#32;&#103;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: -4px;\"\/>, avec g la g\u00e9n\u00e9ratrice<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>Boule et sph\u00e8re<\/strong> de rayon r<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5a37c212e0bda88f932b3da7902340d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#51;&#125;&#92;&#112;&#105;&#32;&#114;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"37\" style=\"vertical-align: -12px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-734f3015f516d9195eee238323ac2eb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#112;&#105;&#32;&#114;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"35\" style=\"vertical-align: 0px;\"\/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p dir=\"ltr\">La grande diagonale d&rsquo;un cube d&rsquo;ar\u00eate a, qui relie deux sommets oppos\u00e9s en traversant le cube, mesure <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-09f87c099ad831fab827558fb29d265e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"33\" style=\"vertical-align: -2px;\"\/>.<\/p>\n<div style=\"background: #FFF8EC; border-left: 6px solid #C77F0C; padding: 15px; margin: 20px 0; color: #0f2742;\"><strong>&#x1f4a1; Astuce :<\/strong> le volume d&rsquo;une pyramide ou d&rsquo;un c\u00f4ne vaut le tiers du volume du prisme ou du cylindre de m\u00eame base et de m\u00eame hauteur. Il suffit donc de retenir <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1a64841a1b250b27ab694a607a47e6f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#66;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#104;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"46\" style=\"vertical-align: 0px;\"\/> et de diviser par 3.<\/div>\n<h2 dir=\"ltr\">Comment l&rsquo;aire et le volume changent-ils lors d&rsquo;un agrandissement ?<\/h2>\n<p dir=\"ltr\">Quand on multiplie toutes les longueurs d&rsquo;une figure par un nombre k :<\/p>\n<ul>\n<li>les longueurs sont multipli\u00e9es par k ;<\/li>\n<li>les aires sont multipli\u00e9es par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1b268b9405115401de31b55cf21877af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"\/> ;<\/li>\n<li>les volumes sont multipli\u00e9s par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e6b9780268f0767cc55dd0448cb83e1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"\/>.<\/li>\n<\/ul>\n<p dir=\"ltr\">Si k est plus grand que 1, c&rsquo;est un agrandissement. S&rsquo;il est compris entre 0 et 1, c&rsquo;est une r\u00e9duction. Les exposants 2 et 3 sont expliqu\u00e9s dans le cours sur les <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-puissances\/\">puissances<\/a>.<\/p>\n<p dir=\"ltr\">Exemple : un carton contient 45 bo\u00eetes. On fabrique un carton deux fois plus long, deux fois plus large et deux fois plus haut. Son volume est multipli\u00e9 par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c7ff6148d51797fa077e23db92d4e903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#94;&#51;&#61;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"49\" style=\"vertical-align: 0px;\"\/> : il contient <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3f46e996fee7eeebbb4c018be42ad6ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#53;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#56;&#61;&#51;&#54;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"99\" style=\"vertical-align: 0px;\"\/> bo\u00eetes, et non 90.<\/p>\n<p dir=\"ltr\">Avec une hausse en <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pourcentages\/\">pourcentage<\/a>, le raisonnement est le m\u00eame. Si les longueurs augmentent de 10 %, alors k = 1,1. L&rsquo;aire est multipli\u00e9e par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b27bd9a3725cb3a50e674b8f80683ce6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#123;&#44;&#125;&#49;&#94;&#50;&#61;&#49;&#123;&#44;&#125;&#50;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -4px;\"\/>, soit une hausse de 21 %. Le volume est multipli\u00e9 par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a5e65471b488e12ae5029431aeb770d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#123;&#44;&#125;&#49;&#94;&#51;&#61;&#49;&#123;&#44;&#125;&#51;&#51;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"93\" style=\"vertical-align: -4px;\"\/>. Au coll\u00e8ge, les triangles d&rsquo;une configuration de <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\">Thal\u00e8s<\/a> sont un agrandissement ou une r\u00e9duction l&rsquo;un de l&rsquo;autre.<\/p>\n<h2 dir=\"ltr\">Comment convertir les unit\u00e9s d&rsquo;aire et de volume ?<\/h2>\n<ul>\n<li>Aires : 1 m\u00b2 = 100 dm\u00b2 = 10 000 cm\u00b2<\/li>\n<li>Volumes : 1 m\u00b3 = 1 000 dm\u00b3 = 1 000 000 cm\u00b3<\/li>\n<li>Capacit\u00e9s : 1 dm\u00b3 = 1 L, 1 m\u00b3 = 1 000 L et 1 cm\u00b3 = 1 mL<\/li>\n<\/ul>\n<p dir=\"ltr\">Exemple : un jerricane a la forme d&rsquo;un pav\u00e9 de 40 cm \u00d7 25 cm \u00d7 80 cm. Combien de verres de 20 cL peut-on remplir ?<\/p>\n<ul>\n<li>Volume : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ba4dd619fd5f9a0fad4c35da9595ff15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#50;&#53;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#56;&#48;&#61;&#56;&#48;&#92;&#44;&#48;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"168\" style=\"vertical-align: 0px;\"\/> cm\u00b3 = 80 dm\u00b3 = 80 L<\/li>\n<li>80 L = 8 000 cL, donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fd1039227fb147c3864ae975061975b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#56;&#92;&#44;&#48;&#48;&#48;&#125;&#123;&#50;&#48;&#125;&#61;&#52;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"91\" style=\"vertical-align: -12px;\"\/> verres<\/li>\n<\/ul>\n<p dir=\"ltr\">Pour vous entra\u00eener sur les aires, les p\u00e9rim\u00e8tres et les angles, consultez nos <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-figures-geometriques\/\">exercices corrig\u00e9s sur les figures g\u00e9om\u00e9triques<\/a>. Certains probl\u00e8mes demandent d&rsquo;exprimer une aire en fonction de x, puis de r\u00e9soudre une \u00e9quation : le cours d&rsquo;<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-algebre\/\">alg\u00e8bre<\/a> vous y aidera.<\/p>\n<h2 dir=\"ltr\">Quelles erreurs \u00e9viter en g\u00e9om\u00e9trie ?<\/h2>\n<table class=\"table\" style=\"width: 100%; border-color: #0F2742; color: #0f2742; background: #ffffff;\">\n<tbody>\n<tr>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Erreur fr\u00e9quente<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Ce qu&rsquo;il faut faire<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">Donner une aire en cm<\/td>\n<td style=\"border: 1px solid #0F2742;\">Un p\u00e9rim\u00e8tre s&rsquo;exprime en cm, une aire en cm\u00b2, un volume en cm\u00b3<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">Oublier de diviser par 2 l&rsquo;aire d&rsquo;un triangle<\/td>\n<td style=\"border: 1px solid #0F2742;\">Base 8 cm, hauteur 5 cm : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-32640f36e5aadefcaa21781a1b4c4b8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#56;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#53;&#125;&#123;&#50;&#125;&#61;&#50;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"83\" style=\"vertical-align: -12px;\"\/> cm\u00b2, et non 40 cm\u00b2<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">Mettre le diam\u00e8tre dans <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0996f3dc9d054c9d35e7c619d8d047e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#105;&#32;&#114;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"\/><\/td>\n<td style=\"border: 1px solid #0F2742;\">Diam\u00e8tre 6 cm, donc r = 3 cm : aire <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ee913d4b928194126e7a805144dbed4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#92;&#112;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"20\" style=\"vertical-align: 0px;\"\/> cm\u00b2, et non <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-68ff283fc620e4234acd1fe8685cca32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#54;&#92;&#112;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"29\" style=\"vertical-align: 0px;\"\/> cm\u00b2<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">Penser que l&rsquo;aire double quand les longueurs doublent<\/td>\n<td style=\"border: 1px solid #0F2742;\">L&rsquo;aire est multipli\u00e9e par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6af114d6d8f53e1befd6204bbdd5c4ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#94;&#50;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"49\" style=\"vertical-align: 0px;\"\/> et le volume par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c7ff6148d51797fa077e23db92d4e903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#94;&#51;&#61;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"49\" style=\"vertical-align: 0px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">Appeler <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-67c87db91cfbe85d3e19ea60a688f4dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#97;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"25\" style=\"vertical-align: 0px;\"\/> l&rsquo;aire lat\u00e9rale du cube<\/td>\n<td style=\"border: 1px solid #0F2742;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-67c87db91cfbe85d3e19ea60a688f4dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#97;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"25\" style=\"vertical-align: 0px;\"\/> est l&rsquo;aire totale (6 faces). L&rsquo;aire lat\u00e9rale (4 faces) vaut <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-a56add5d8fa8a3aaf4f25ce59e44aa1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#97;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"25\" style=\"vertical-align: 0px;\"\/><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\">\u00c9crire 1 m\u00b2 = 100 cm\u00b2<\/td>\n<td style=\"border: 1px solid #0F2742;\">1 m = 100 cm, donc 1 m\u00b2 = 100 \u00d7 100 = 10 000 cm\u00b2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 dir=\"ltr\">En quelle classe \u00e9tudie-t-on les figures g\u00e9om\u00e9triques ?<\/h2>\n<table class=\"table\" style=\"width: 100%; border-color: #0F2742; color: #0f2742; background: #ffffff;\">\n<tbody>\n<tr>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Classe<\/strong><\/td>\n<td style=\"background: #0F2742; color: #ffffff; border: 1px solid #0F2742; text-align: left;\"><strong>Ce que l&rsquo;\u00e9l\u00e8ve apprend<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>CM1<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Reconna\u00eetre et nommer triangles, quadrilat\u00e8res, carr\u00e9s, rectangles et losanges ; cercle et disque ; p\u00e9rim\u00e8tre d&rsquo;un polygone ; cube et pav\u00e9<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>CM2<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Trap\u00e8zes, pentagones et hexagones ; aire du carr\u00e9 et du rectangle ; patron du cube et du pav\u00e9<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>6e<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Formules du p\u00e9rim\u00e8tre et de l&rsquo;aire du carr\u00e9 et du rectangle ; p\u00e9rim\u00e8tre du cercle ; angles des triangles particuliers ; volumes en cm\u00b3<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>5e<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Somme des angles d&rsquo;un triangle ; parall\u00e9logrammes ; aire du triangle, du parall\u00e9logramme et du disque ; volume du cube, du pav\u00e9, du prisme et du cylindre<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>4e<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Pyramide et c\u00f4ne ; th\u00e9or\u00e8me de Pythagore<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid #0F2742;\"><strong>3e<\/strong><\/td>\n<td style=\"border: 1px solid #0F2742;\">Boule et sph\u00e8re ; th\u00e9or\u00e8me de Thal\u00e8s<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p dir=\"ltr\">Cette r\u00e9partition suit le programme de cycle 3, en vigueur en CM1 et en 6e depuis la rentr\u00e9e 2025 et en CM2 depuis la rentr\u00e9e 2026, et le programme de cycle 4 publi\u00e9 au Bulletin officiel du 5 mars 2026. Ce dernier s&rsquo;applique en 5e depuis la rentr\u00e9e 2026, en 4e \u00e0 la rentr\u00e9e 2027 et en 3e \u00e0 la rentr\u00e9e 2028. Dans les tests de calcul comme le Tage Mage, les figures g\u00e9om\u00e9triques reviennent aux c\u00f4t\u00e9s des <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-probabilites\/\">probabilit\u00e9s<\/a> et des fractions.<\/p>\n<p dir=\"ltr\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"205992\" class=\"elementor elementor-205992\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-df11d1e elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"df11d1e\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-54ab74af ae-bg-gallery-type-default\" data-id=\"54ab74af\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2c1ca7d elementor-widget elementor-widget-heading\" data-id=\"2c1ca7d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">STAGE DE MATHS PENDANT LES VACANCES<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3e600302 elementor-widget elementor-widget-heading\" data-id=\"3e600302\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Gagner en s\u00e9r\u00e9nit\u00e9 et progresser en confiance<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-598c6a68 elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"598c6a68\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/groupe-reussite.fr\/stages\/maths\/tous-niveaux\/france\/toutes-periodes\/\" target=\"_blank\" id=\"CTA_PRD_STAGE\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Stage maths vacances<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-14415dfd ae-bg-gallery-type-default\" data-id=\"14415dfd\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p>&nbsp;<\/p>\n<h2 dir=\"ltr\">FAQ : questions fr\u00e9quentes sur les figures g\u00e9om\u00e9triques<\/h2>\n        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Quelles sont les 12 figures g\u00e9om\u00e9triques ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tAucun programme officiel ne fixe une liste de 12 figures. Les figures planes \u00e9tudi\u00e9es \u00e0 l'\u00e9cole et au coll\u00e8ge sont le triangle (rectangle, isoc\u00e8le, \u00e9quilat\u00e9ral), le carr\u00e9, le rectangle, le losange, le parall\u00e9logramme, le trap\u00e8ze, le pentagone, l'hexagone et le cercle. Les solides sont le cube, le pav\u00e9 droit, le prisme, le cylindre, la pyramide, le c\u00f4ne et la boule.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Quelle est la diff\u00e9rence entre une forme et une figure g\u00e9om\u00e9trique ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tLes deux mots d\u00e9signent les m\u00eames objets. \u00ab Forme g\u00e9om\u00e9trique \u00bb est l'expression courante. En math\u00e9matiques, on parle plut\u00f4t de figure plane (triangle, carr\u00e9, cercle) ou de solide (cube, cylindre, boule).                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Comment s&#039;appelle une figure \u00e0 5, 6 ou 8 c\u00f4t\u00e9s ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tUne figure \u00e0 5 c\u00f4t\u00e9s est un pentagone, \u00e0 6 c\u00f4t\u00e9s un hexagone, \u00e0 7 c\u00f4t\u00e9s un heptagone et \u00e0 8 c\u00f4t\u00e9s un octogone. Le panneau stop est un octogone.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Un carr\u00e9 est-il un rectangle ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tOui. Un carr\u00e9 a quatre angles droits, c'est donc un rectangle. Il a aussi quatre c\u00f4t\u00e9s \u00e9gaux, c'est donc aussi un losange. L'inverse est faux : un rectangle n'est un carr\u00e9 que si ses quatre c\u00f4t\u00e9s ont la m\u00eame longueur.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Quelle est la diff\u00e9rence entre le cercle et le disque ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tLe cercle est la ligne courbe form\u00e9e des points situ\u00e9s \u00e0 la distance r du centre. Le disque est la surface \u00e0 l'int\u00e9rieur de ce cercle. On calcule le p\u00e9rim\u00e8tre d'un cercle (2 \u00d7 \u03c0 \u00d7 r) et l'aire d'un disque (\u03c0 \u00d7 r\u00b2).                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t        <section class=\"sc_fs_faq sc_card \">\n            <div>\n\t\t\t\t<h3>Quelle est la diff\u00e9rence entre l&#039;aire et le p\u00e9rim\u00e8tre ?<\/h3>                <div>\n\t\t\t\t\t                    <p>\n\t\t\t\t\t\tLe p\u00e9rim\u00e8tre est la longueur du contour d'une figure, il s'exprime en cm ou en m. L'aire est la mesure de la surface, elle s'exprime en cm\u00b2 ou en m\u00b2. Un carr\u00e9 de 4 cm de c\u00f4t\u00e9 a un p\u00e9rim\u00e8tre de 16 cm et une aire de 16 cm\u00b2 : les nombres sont \u00e9gaux, mais pas les grandeurs.                    <\/p>\n                <\/div>\n            <\/div>\n        <\/section>\n\t\t\n<script type=\"application\/ld+json\">\n    {\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Quelles sont les 12 figures g\u00e9om\u00e9triques ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Aucun programme officiel ne fixe une liste de 12 figures. Les figures planes \u00e9tudi\u00e9es \u00e0 l'\u00e9cole et au coll\u00e8ge sont le triangle (rectangle, isoc\u00e8le, \u00e9quilat\u00e9ral), le carr\u00e9, le rectangle, le losange, le parall\u00e9logramme, le trap\u00e8ze, le pentagone, l'hexagone et le cercle. Les solides sont le cube, le pav\u00e9 droit, le prisme, le cylindre, la pyramide, le c\u00f4ne et la boule.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Quelle est la diff\u00e9rence entre une forme et une figure g\u00e9om\u00e9trique ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Les deux mots d\u00e9signent les m\u00eames objets. \u00ab Forme g\u00e9om\u00e9trique \u00bb est l'expression courante. En math\u00e9matiques, on parle plut\u00f4t de figure plane (triangle, carr\u00e9, cercle) ou de solide (cube, cylindre, boule).\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Comment s'appelle une figure \u00e0 5, 6 ou 8 c\u00f4t\u00e9s ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Une figure \u00e0 5 c\u00f4t\u00e9s est un pentagone, \u00e0 6 c\u00f4t\u00e9s un hexagone, \u00e0 7 c\u00f4t\u00e9s un heptagone et \u00e0 8 c\u00f4t\u00e9s un octogone. Le panneau stop est un octogone.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Un carr\u00e9 est-il un rectangle ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Oui. Un carr\u00e9 a quatre angles droits, c'est donc un rectangle. Il a aussi quatre c\u00f4t\u00e9s \u00e9gaux, c'est donc aussi un losange. L'inverse est faux : un rectangle n'est un carr\u00e9 que si ses quatre c\u00f4t\u00e9s ont la m\u00eame longueur.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Quelle est la diff\u00e9rence entre le cercle et le disque ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Le cercle est la ligne courbe form\u00e9e des points situ\u00e9s \u00e0 la distance r du centre. Le disque est la surface \u00e0 l'int\u00e9rieur de ce cercle. On calcule le p\u00e9rim\u00e8tre d'un cercle (2 \u00d7 \u03c0 \u00d7 r) et l'aire d'un disque (\u03c0 \u00d7 r\u00b2).\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Quelle est la diff\u00e9rence entre l'aire et le p\u00e9rim\u00e8tre ?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Le p\u00e9rim\u00e8tre est la longueur du contour d'une figure, il s'exprime en cm ou en m. L'aire est la mesure de la surface, elle s'exprime en cm\u00b2 ou en m\u00b2. Un carr\u00e9 de 4 cm de c\u00f4t\u00e9 a un p\u00e9rim\u00e8tre de 16 cm et une aire de 16 cm\u00b2 : les nombres sont \u00e9gaux, mais pas les grandeurs.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t    ]\n}\n<\/script>\n\n<h2 dir=\"ltr\">Sources<\/h2>\n<ul>\n<li>Minist\u00e8re de l&rsquo;\u00c9ducation nationale, <a href=\"https:\/\/www.education.gouv.fr\/sites\/default\/files\/ensel620_annexe2-v2.pdf\" target=\"_blank\" rel=\"noopener\">Programme de math\u00e9matiques pour le cycle 3<\/a><\/li>\n<li>Minist\u00e8re de l&rsquo;\u00c9ducation nationale, <a href=\"https:\/\/www.education.gouv.fr\/sites\/default\/files\/document\/Annexe%202%20%E2%80%93%20Programme%20de%20math%C3%A9matiques%20pour%20le%20cycle%204-480716.pdf\" target=\"_blank\" rel=\"noopener\">Programme de math\u00e9matiques du cycle 4<\/a>, annexe 2, BO du 5 mars 2026<\/li>\n<li>Acad\u00e9mie de Bordeaux, <a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/le-programme-de-cycle-3-a-partir-de-2025\/\" target=\"_blank\" rel=\"noopener\">Le programme de cycle 3 \u00e0 partir de 2025<\/a> (calendrier d&rsquo;application)<\/li>\n<li>Acad\u00e9mie de Bordeaux, <a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=12479\" target=\"_blank\" rel=\"noopener\">Publication du nouveau programme de cycle 4<\/a> (calendrier d&rsquo;application)<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Figures g\u00e9om\u00e9triques : noms, propri\u00e9t\u00e9s et formules Par Seda Biber, le 21\/10\/2026 R\u00e9sum\u00e9 de cours Exercices et corrig\u00e9s Cours en ligne du Tage Mage Une figure g\u00e9om\u00e9trique est un dessin form\u00e9 de points, de segments ou de courbes. On distingue les figures planes, trac\u00e9es sur une feuille (triangle, carr\u00e9, rectangle, losange, cercle\u2026), et les solides, [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_post_layout":"full-screen","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"ressource","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"on","ocean_disable_heading":"on","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"on","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-62975","page","type-page","status-publish","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Figure g\u00e9om\u00e9trique : formules, exemples et propri\u00e9t\u00e9s<\/title>\n<meta name=\"description\" content=\"Figure geometrique : apprenez ou r\u00e9-apprenez les figures g\u00e9om\u00e9triques et leurs propri\u00e9t\u00e9s - p\u00e9rim\u00e8tre, aire, volume des polygones r\u00e9guliers.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Figure g\u00e9om\u00e9trique : formules, exemples et propri\u00e9t\u00e9s\" \/>\n<meta property=\"og:description\" content=\"Figure geometrique : apprenez ou r\u00e9-apprenez les figures g\u00e9om\u00e9triques et leurs propri\u00e9t\u00e9s - p\u00e9rim\u00e8tre, aire, volume des polygones r\u00e9guliers.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/\" \/>\n<meta property=\"og:site_name\" content=\"Groupe R\u00e9ussite\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/\" \/>\n<meta property=\"article:modified_time\" content=\"2026-10-21T08:20:54+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png\" \/>\n\t<meta property=\"og:image:width\" content=\"170\" \/>\n\t<meta property=\"og:image:height\" content=\"180\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@GroupeReussite\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"10 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-figures-geometriques\\\/\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-figures-geometriques\\\/\",\"name\":\"Figure g\u00e9om\u00e9trique : formules, exemples et propri\u00e9t\u00e9s\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#website\"},\"datePublished\":\"2020-08-03T18:07:44+00:00\",\"dateModified\":\"2026-10-21T08:20:54+00:00\",\"description\":\"Figure geometrique : apprenez ou r\u00e9-apprenez les figures g\u00e9om\u00e9triques et leurs propri\u00e9t\u00e9s - p\u00e9rim\u00e8tre, aire, volume des polygones r\u00e9guliers.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-figures-geometriques\\\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-figures-geometriques\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-figures-geometriques\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cours en ligne sur les figures g\u00e9om\u00e9triques\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#website\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/\",\"name\":\"Groupe R\u00e9ussite - Cours particuliers et stages de vacances\",\"description\":\"Stage et Cours particuliers maths, fran\u00e7ais, anglais, informatique, physique chimie\",\"publisher\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#organization\",\"name\":\"Groupe R\u00e9ussite - Cours particuliers et stages de vacances\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/wp-content\\\/uploads\\\/2026\\\/05\\\/logo-groupe-reussite-carre.png\",\"contentUrl\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/wp-content\\\/uploads\\\/2026\\\/05\\\/logo-groupe-reussite-carre.png\",\"width\":170,\"height\":180,\"caption\":\"Groupe R\u00e9ussite - Cours particuliers et stages de vacances\"},\"image\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/GroupeReussiteOfficiel\\\/\",\"https:\\\/\\\/x.com\\\/GroupeReussite\",\"https:\\\/\\\/www.youtube.com\\\/c\\\/GroupeReussite\",\"https:\\\/\\\/www.instagram.com\\\/groupe_reussite_officiel\\\/\",\"https:\\\/\\\/fr.linkedin.com\\\/company\\\/groupe-reussite\",\"https:\\\/\\\/www.tiktok.com\\\/@groupereussite\",\"https:\\\/\\\/fr.pinterest.com\\\/GroupeReussite\\\/\",\"https:\\\/\\\/www.reddit.com\\\/user\\\/Groupe-Reussite\\\/\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Figure g\u00e9om\u00e9trique : formules, exemples et propri\u00e9t\u00e9s","description":"Figure geometrique : apprenez ou r\u00e9-apprenez les figures g\u00e9om\u00e9triques et leurs propri\u00e9t\u00e9s - p\u00e9rim\u00e8tre, aire, volume des polygones r\u00e9guliers.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/","og_locale":"fr_FR","og_type":"article","og_title":"Figure g\u00e9om\u00e9trique : formules, exemples et propri\u00e9t\u00e9s","og_description":"Figure geometrique : apprenez ou r\u00e9-apprenez les figures g\u00e9om\u00e9triques et leurs propri\u00e9t\u00e9s - p\u00e9rim\u00e8tre, aire, volume des polygones r\u00e9guliers.","og_url":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/","og_site_name":"Groupe R\u00e9ussite","article_publisher":"https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/","article_modified_time":"2026-10-21T08:20:54+00:00","og_image":[{"width":170,"height":180,"url":"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_site":"@GroupeReussite","twitter_misc":{"Dur\u00e9e de lecture estim\u00e9e":"10 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/","url":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/","name":"Figure g\u00e9om\u00e9trique : formules, exemples et propri\u00e9t\u00e9s","isPartOf":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/#website"},"datePublished":"2020-08-03T18:07:44+00:00","dateModified":"2026-10-21T08:20:54+00:00","description":"Figure geometrique : apprenez ou r\u00e9-apprenez les figures g\u00e9om\u00e9triques et leurs propri\u00e9t\u00e9s - p\u00e9rim\u00e8tre, aire, volume des polygones r\u00e9guliers.","breadcrumb":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Accueil","item":"https:\/\/groupe-reussite.fr\/ressources\/"},{"@type":"ListItem","position":2,"name":"Cours en ligne sur les figures g\u00e9om\u00e9triques"}]},{"@type":"WebSite","@id":"https:\/\/groupe-reussite.fr\/ressources\/#website","url":"https:\/\/groupe-reussite.fr\/ressources\/","name":"Groupe R\u00e9ussite - Cours particuliers et stages de vacances","description":"Stage et Cours particuliers maths, fran\u00e7ais, anglais, informatique, physique chimie","publisher":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/groupe-reussite.fr\/ressources\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"},{"@type":"Organization","@id":"https:\/\/groupe-reussite.fr\/ressources\/#organization","name":"Groupe R\u00e9ussite - Cours particuliers et stages de vacances","url":"https:\/\/groupe-reussite.fr\/ressources\/","logo":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/groupe-reussite.fr\/ressources\/#\/schema\/logo\/image\/","url":"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png","contentUrl":"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png","width":170,"height":180,"caption":"Groupe R\u00e9ussite - Cours particuliers et stages de vacances"},"image":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/","https:\/\/x.com\/GroupeReussite","https:\/\/www.youtube.com\/c\/GroupeReussite","https:\/\/www.instagram.com\/groupe_reussite_officiel\/","https:\/\/fr.linkedin.com\/company\/groupe-reussite","https:\/\/www.tiktok.com\/@groupereussite","https:\/\/fr.pinterest.com\/GroupeReussite\/","https:\/\/www.reddit.com\/user\/Groupe-Reussite\/"]}]}},"_links":{"self":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/pages\/62975","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/comments?post=62975"}],"version-history":[{"count":3,"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/pages\/62975\/revisions"}],"predecessor-version":[{"id":280079,"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/pages\/62975\/revisions\/280079"}],"wp:attachment":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/media?parent=62975"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}