{"id":911,"date":"2015-12-15T10:25:43","date_gmt":"2015-12-15T15:25:43","guid":{"rendered":"http:\/\/pascal-tic.org\/math\/?page_id=911"},"modified":"2019-08-27T11:47:11","modified_gmt":"2019-08-27T16:47:11","slug":"definitions-des-quadrilateres","status":"publish","type":"page","link":"https:\/\/pascal-tic.org\/math\/definitions-des-quadrilateres\/","title":{"rendered":"D\u00e9finitions des quadrilat\u00e8res"},"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-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=\"1506428074653-2045eec4-a966\"><button aria-controls=\"content-1506428074653-2045eec4-a966\" class=\"w-tabs-section-header with_icon\"><i class=\"far fa-bookmark\"><\/i><div class=\"w-tabs-section-title\">Quadrilat\u00e8re<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-1506428074653-2045eec4-a966\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"g-cols wpb_row via_flex valign_top type_default\"><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"270\" height=\"278\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def1.png\" class=\"attachment-full size-full\" alt=\"\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p>Un <strong>quadrilat\u00e8re<\/strong> est une figure poss\u00e9dant 4 c\u00f4t\u00e9s.<\/p>\n<p>La somme des mesures des angles int\u00e9rieurs d&rsquo;un quadrilat\u00e8re est 360\u00b0.<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"w-tabs-section\" id=\"1506428074861-4bd38e86-4afd\"><button aria-controls=\"content-1506428074861-4bd38e86-4afd\" class=\"w-tabs-section-header with_icon\"><i class=\"far fa-bookmark\"><\/i><div class=\"w-tabs-section-title\">Carr\u00e9<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-1506428074861-4bd38e86-4afd\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"g-cols wpb_row via_flex valign_top type_default\"><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"234\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def2.png\" class=\"attachment-full size-full\" alt=\"\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p>Un <strong>carr\u00e9<\/strong> est un quadrilat\u00e8re ayant quatre angles droits et dont les quatre c\u00f4t\u00e9s ont la m\u00eame longueur.<\/p>\n<p>Pour montrer qu&rsquo;un quadrilat\u00e8re est un carr\u00e9 tu dois mettre en \u00e9vidence que les quatre c\u00f4t\u00e9s ont la m\u00eame longueur et que trois des quatre angles sont droits.<\/p>\n<p><em>Concepts : Droites perpendiculaires (produit des pentes donne -1), distance entre deux points.<\/em><\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"w-tabs-section\" id=\"1506428075055-06ee502a-0a75\"><button aria-controls=\"content-1506428075055-06ee502a-0a75\" class=\"w-tabs-section-header with_icon\"><i class=\"far fa-bookmark\"><\/i><div class=\"w-tabs-section-title\">Rectangle<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-1506428075055-06ee502a-0a75\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"g-cols wpb_row via_flex valign_top type_default\"><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"302\" height=\"219\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def3.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def3.png 302w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def3-300x218.png 300w\" sizes=\"auto, (max-width: 302px) 100vw, 302px\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p style=\"text-align: left;\">Un <strong>rectangle<\/strong> est un quadrilat\u00e8re ayant quatre angles droits.<\/p>\n<p style=\"text-align: left;\">Pour d\u00e9montrer qu&rsquo;un quadrilat\u00e8re est un rectangle, on peut :<\/p>\n<ul>\n<li style=\"text-align: left;\">soit d\u00e9montrer que trois de ses quatre angles sont droits ;<\/li>\n<li style=\"text-align: left;\">soit d\u00e9montrer que les diagonales sont isom\u00e9triques et se coupent en leurs milieux.<\/li>\n<\/ul>\n<p><em>Concepts : Droites perpendiculaires (produit des deux pentes donne -1), distance entre deux points, coordonn\u00e9es du point milieu.<\/em><\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"w-tabs-section\" id=\"1506428075253-60499997-a643\"><button aria-controls=\"content-1506428075253-60499997-a643\" class=\"w-tabs-section-header with_icon\"><i class=\"far fa-bookmark\"><\/i><div class=\"w-tabs-section-title\">Losange<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-1506428075253-60499997-a643\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"g-cols wpb_row via_flex valign_top type_default\"><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"270\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def4.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def4.png 368w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def4-300x220.png 300w\" sizes=\"auto, (max-width: 368px) 100vw, 368px\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p style=\"text-align: left;\">Un <strong>losange<\/strong> est un quadrilat\u00e8re ayant quatre c\u00f4t\u00e9s de la m\u00eame longueur.<\/p>\n<p style=\"text-align: left;\">Pour d\u00e9montrer qu&rsquo;un quadrilat\u00e8re est un losange, on peut :<\/p>\n<ul>\n<li style=\"text-align: left;\">soit d\u00e9montrer que les quatre c\u00f4t\u00e9s ont la m\u00eame longueur ;<\/li>\n<li style=\"text-align: left;\">soit d\u00e9montrer que les diagonales se coupent en leurs milieux ET sont perpendiculaires.<\/li>\n<\/ul>\n<p><em>Concepts : Distance entre deux points, coordonn\u00e9es du point milieu et droites perpendiculaires (produit des deux pentes donne -1)<\/em><\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"w-tabs-section\" id=\"1506428075452-586b4d62-9520\"><button aria-controls=\"content-1506428075452-586b4d62-9520\" class=\"w-tabs-section-header with_icon\"><i class=\"far fa-bookmark\"><\/i><div class=\"w-tabs-section-title\">Parall\u00e9logramme<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-1506428075452-586b4d62-9520\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"g-cols wpb_row via_flex valign_top type_default\"><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"311\" height=\"176\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def5.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def5.png 311w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def5-300x170.png 300w\" sizes=\"auto, (max-width: 311px) 100vw, 311px\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p style=\"text-align: left;\">Un <strong>parall\u00e9logramme <\/strong>est un quadrilat\u00e8re dont les c\u00f4t\u00e9s sont parall\u00e8les deux \u00e0 deux.<\/p>\n<p style=\"text-align: left;\">Pour d\u00e9montrer qu&rsquo;un quadrilat\u00e8re est un parall\u00e9logramme, on doit d\u00e9montrer que ses c\u00f4t\u00e9s sont parall\u00e8les deux \u00e0 deux.<\/p>\n<p style=\"text-align: left;\"><em>Concept : Droites parall\u00e8les (pentes identiques)<\/em><\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"w-tabs-section\" id=\"1506428075678-62962155-6926\"><button aria-controls=\"content-1506428075678-62962155-6926\" class=\"w-tabs-section-header with_icon\"><i class=\"far fa-bookmark\"><\/i><div class=\"w-tabs-section-title\">Trap\u00e8ze<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-1506428075678-62962155-6926\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"g-cols wpb_row via_flex valign_top type_default\"><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"350\" height=\"153\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def6.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def6.png 350w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def6-300x131.png 300w\" sizes=\"auto, (max-width: 350px) 100vw, 350px\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p style=\"text-align: left;\">Un <strong>trap\u00e8ze <\/strong>est un quadrilat\u00e8re ayant deux c\u00f4t\u00e9s parall\u00e8les, et seulement deux.<\/p>\n<p style=\"text-align: left;\">Pour d\u00e9montrer qu&rsquo;un quadrilat\u00e8re est un trap\u00e8ze, on doit d\u00e9montrer que deux de ses c\u00f4t\u00e9s sont parall\u00e8les.<\/p>\n<p style=\"text-align: left;\"><em>Concept : Droites parall\u00e8les (pentes identiques).<\/em><\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"w-tabs-section\" id=\"1506428075919-0b9d32cc-fcfb\"><button aria-controls=\"content-1506428075919-0b9d32cc-fcfb\" class=\"w-tabs-section-header with_icon\"><i class=\"far fa-bookmark\"><\/i><div class=\"w-tabs-section-title\">Trap\u00e8ze isoc\u00e8le<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-1506428075919-0b9d32cc-fcfb\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"g-cols wpb_row via_flex valign_top type_default\"><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"172\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def7.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def7.png 368w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def7-300x140.png 300w\" sizes=\"auto, (max-width: 368px) 100vw, 368px\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p style=\"text-align: left;\">Un <strong>trap\u00e8ze isoc\u00e8le <\/strong>est un quadrilat\u00e8re ayant deux c\u00f4t\u00e9s parall\u00e8les, et seulement deux et dont les c\u00f4t\u00e9s non parall\u00e8les sont isom\u00e9triques.<\/p>\n<p style=\"text-align: left;\">Pour d\u00e9montrer qu&rsquo;un quadrilat\u00e8re est un trap\u00e8ze, on doit d\u00e9montrer que deux de ses c\u00f4t\u00e9s sont parall\u00e8les ET que les c\u00f4t\u00e9s non parall\u00e8les sont isom\u00e9triques.<\/p>\n<p style=\"text-align: left;\"><em>Concepts : Droites parall\u00e8les (pentes identiques, distance entre deux points)<\/em><\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"w-tabs-section\" id=\"1506428076174-a6f1bd02-e19f\"><button aria-controls=\"content-1506428076174-a6f1bd02-e19f\" class=\"w-tabs-section-header with_icon\"><i class=\"far fa-bookmark\"><\/i><div class=\"w-tabs-section-title\">Trap\u00e8ze rectangle<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-1506428076174-a6f1bd02-e19f\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"g-cols wpb_row via_flex valign_top type_default\"><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"263\" height=\"170\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/12\/def8.png\" class=\"attachment-full size-full\" alt=\"\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-6 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p style=\"text-align: left;\">Un <strong>trap\u00e8ze rectangle <\/strong>est un quadrilat\u00e8re ayant deux c\u00f4t\u00e9s parall\u00e8les, et seulement deux et poss\u00e9dant un angle droit.<\/p>\n<p style=\"text-align: left;\">Pour d\u00e9montrer qu&rsquo;un quadrilat\u00e8re est un trap\u00e8ze, on doit d\u00e9montrer que deux de ses c\u00f4t\u00e9s sont parall\u00e8les ET qu&rsquo;il poss\u00e8de un angle droit.<\/p>\n<p style=\"text-align: left;\"><em>Concepts : Pentes identiques, droites perpendiculaires (produit des pentes donne -1)<br \/>\n<\/em><\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/section>\n","protected":false},"excerpt":{"rendered":"Quadrilat\u00e8reUn quadrilat\u00e8re est une figure poss\u00e9dant 4 c\u00f4t\u00e9s. La somme des mesures des angles int\u00e9rieurs d&rsquo;un quadrilat\u00e8re est 360\u00b0. Carr\u00e9Un carr\u00e9 est un quadrilat\u00e8re ayant quatre angles droits et dont les quatre c\u00f4t\u00e9s ont la m\u00eame longueur. Pour montrer qu&rsquo;un quadrilat\u00e8re est un carr\u00e9 tu dois mettre en \u00e9vidence que les quatre c\u00f4t\u00e9s ont la...","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-911","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/pages\/911","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=911"}],"version-history":[{"count":13,"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/pages\/911\/revisions"}],"predecessor-version":[{"id":2029,"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/pages\/911\/revisions\/2029"}],"wp:attachment":[{"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/media?parent=911"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}