{"id":875,"date":"2015-12-14T10:13:07","date_gmt":"2015-12-14T15:13:07","guid":{"rendered":"http:\/\/pascal-tic.org\/math\/?page_id=875"},"modified":"2019-08-27T11:47:11","modified_gmt":"2019-08-27T16:47:11","slug":"demontrer-que-ce-quadrilatere-est-un-rectangle","status":"publish","type":"page","link":"https:\/\/pascal-tic.org\/math\/demontrer-que-ce-quadrilatere-est-un-rectangle\/","title":{"rendered":"D\u00e9montrer que ce quadrilat\u00e8re est un rectangle"},"content":{"rendered":"<section class=\"l-section wpb_row height_medium\"><div class=\"l-section-h i-cf\"><div class=\"g-cols vc_row via_flex valign_top type_default\"><div class=\"vc_col-sm-12 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center us_animate_afc\"><a href=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/rectangle.png\" ref=\"magnificPopup\" aria-label=\"Lien\" class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"508\" height=\"407\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/rectangle.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/rectangle.png 508w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/rectangle-300x240.png 300w\" sizes=\"auto, (max-width: 508px) 100vw, 508px\" \/><\/a><\/div><\/div><\/div><\/div><\/div><\/div><\/section><section class=\"l-section wpb_row height_medium\"><div class=\"l-section-h i-cf\"><div class=\"g-cols vc_row via_flex valign_top type_default\"><div class=\"vc_col-sm-12 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-tabs style_default switch_click accordion type_togglable has_scrolling\" style=\"--sections-title-size:inherit\"><div class=\"w-tabs-sections titles-align_none icon_chevron cpos_right\"><div class=\"w-tabs-section\" id=\"1484762478685-6c3dc04c-f821\"><button aria-controls=\"content-1484762478685-6c3dc04c-f821\" class=\"w-tabs-section-header with_icon\"><i class=\"fas fa-puzzle-piece\"><\/i><div class=\"w-tabs-section-title\">Solution 1<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-1484762478685-6c3dc04c-f821\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p>Pour d\u00e9montrer que ce quadrilat\u00e8re est un rectangle, nous allons faire ressortir qu&rsquo;il poss\u00e8de 3 angles droits.<\/p>\n<\/div><\/div><div class=\"w-image align_none\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"698\" height=\"390\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/rectangle-sol2.png\" class=\"attachment-large size-large\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/rectangle-sol2.png 698w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/rectangle-sol2-300x168.png 300w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/rectangle-sol2-600x335.png 600w\" sizes=\"auto, (max-width: 698px) 100vw, 698px\" \/><\/div><\/div><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p>L&rsquo;angle BAD, ADC et DCB sont des angles droits, ainsi, par d\u00e9finition du rectangle, on peut affirmer qu&rsquo;il s&rsquo;agit bien d&rsquo;un rectangle.<\/p>\n<\/div><\/div><\/div><\/div><\/div><div class=\"w-tabs-section\" id=\"1484762478709-9f4c974f-5c31\"><button aria-controls=\"content-1484762478709-9f4c974f-5c31\" class=\"w-tabs-section-header with_icon\"><i class=\"fas fa-puzzle-piece\"><\/i><div class=\"w-tabs-section-title\">Solution 2<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-1484762478709-9f4c974f-5c31\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p>Pour d\u00e9montrer que ce quadrilat\u00e8re est un rectangle, nous allons prouver \u00e0 l&rsquo;aide de la distance entre deux points que les diagonales de celui-ci sont isom\u00e9triques. Ensuite, il faudra d\u00e9terminer qu&rsquo;elles se coupent en leurs milieux.<\/p>\n<\/div><\/div><div class=\"w-image align_none\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"443\" height=\"248\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/rectangle-sol1.png\" class=\"attachment-large size-large\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/rectangle-sol1.png 443w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/rectangle-sol1-300x168.png 300w\" sizes=\"auto, (max-width: 443px) 100vw, 443px\" \/><\/div><\/div><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p>Comme d(A,C) = d(D,B) nous pouvons affirmer que les diagonales sont isom\u00e9triques.<\/p>\n<p>Comme M<sub>AC<\/sub> et M<sub>DB<\/sub> ont les m\u00eames coordonn\u00e9es, nous pouvons affirmer que les diagonales se coupent en leurs milieux.<\/p>\n<p>Ainsi le quadrilat\u00e8re ADCB est un rectangle.<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/section>\n","protected":false},"excerpt":{"rendered":"Solution 1Pour d\u00e9montrer que ce quadrilat\u00e8re est un rectangle, nous allons faire ressortir qu&rsquo;il poss\u00e8de 3 angles droits. L&rsquo;angle BAD, ADC et DCB sont des angles droits, ainsi, par d\u00e9finition du rectangle, on peut affirmer qu&rsquo;il s&rsquo;agit bien d&rsquo;un rectangle. Solution 2Pour d\u00e9montrer que ce quadrilat\u00e8re est un rectangle, nous allons prouver \u00e0 l&rsquo;aide de...","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-875","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/pages\/875","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/comments?post=875"}],"version-history":[{"count":9,"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/pages\/875\/revisions"}],"predecessor-version":[{"id":2033,"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/pages\/875\/revisions\/2033"}],"wp:attachment":[{"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/media?parent=875"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}