{"id":23803,"date":"2022-12-22T23:40:37","date_gmt":"2022-12-22T23:40:37","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23803"},"modified":"2023-01-03T08:34:07","modified_gmt":"2023-01-03T08:34:07","slug":"tres-triangulos-iguais","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23803","title":{"rendered":"Tr\u00eas tri\u00e2ngulos iguais"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23803' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23803' class='GTTabs_curr'><a  id=\"23803_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23803' ><a  id=\"23803_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_23803'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23804\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23804\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1.png\" data-orig-size=\"467,406\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag084-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1.png\" class=\"alignright wp-image-23804\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1-300x261.png\" alt=\"\" width=\"300\" height=\"261\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1-300x261.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1.png 467w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>A figura seguinte \u00e9 constitu\u00edda por tr\u00eas tri\u00e2ngulos iguais.<\/p>\n<ol>\n<li>Quantas dire\u00e7\u00f5es est\u00e3o definidas pelos lados dos tri\u00e2ngulos?<\/li>\n<li>Indica:<br \/>a)\u00a0dois segmentos de reta orientados equipolentes a [A, B];<br \/>b)\u00a0o segmento de reta orientado equipolente a [C, E] com origem em B;<br \/>c) dois segmentos de reta orientados com o mesmo comprimento e a mesma dire\u00e7\u00e3o, mas sentidos opostos;<br \/>d) dois segmentos de reta orientados que sejam representantes do mesmo vetor.<\/li>\n<li>Quais das seguintes afirma\u00e7\u00f5es s\u00e3o verdadeiras?<br \/>(I) Os segmentos de reta orientados [F, B] e [E, B] t\u00eam a mesma dire\u00e7\u00e3o.<br \/>(II) [A, E] \u00e9 equipolente a [C, F].<br \/>(III) Os segmentos de reta orientados [A, C] e [E, F] t\u00eam sentidos opostos.<br \/>(IV) Os segmentos de reta orientados [B, C] e [F, E] s\u00e3o representantes do mesmo vetor.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23803' onClick='GTTabs_show(1,23803)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23803'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23804\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23804\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1.png\" data-orig-size=\"467,406\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag084-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1.png\" class=\"alignright wp-image-23804\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1-300x261.png\" alt=\"\" width=\"300\" height=\"261\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1-300x261.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1.png 467w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>A figura seguinte \u00e9 constitu\u00edda por tr\u00eas tri\u00e2ngulos iguais.<\/p>\n<ol>\n<li>Os lados dos tri\u00e2ngulos definem tr\u00eas dire\u00e7\u00f5es.<\/li>\n<li><br \/>a) [B, C] e [F, E] s\u00e3o dois segmentos de reta orientados equipolentes ao segmento orientado [A, B];<br \/>b) [B, F] \u00e9 o segmento de reta orientado equipolente a [C, E] com origem em B;<br \/>c) [A, B] e [C, B] (por exemplo) s\u00e3o dois segmentos de reta orientados com o mesmo comprimento e a mesma dire\u00e7\u00e3o, mas sentidos opostos;<br \/>d) [A, B] e [F, E] s\u00e3o dois segmentos de reta orientados que s\u00e3o representantes do mesmo vetor.<\/li>\n<li>Das seguintes afirma\u00e7\u00f5es, s\u00e3o verdadeiras (III) e (IV):<br \/>(I) Os segmentos de reta orientados [F, B] e [E, B] t\u00eam a mesma dire\u00e7\u00e3o.<br \/>(II) [A, E] \u00e9 equipolente a [C, F].<br \/>(III) Os segmentos de reta orientados [A, C] e [E, F] t\u00eam sentidos opostos.<br \/>(IV) Os segmentos de reta orientados [B, C] e [F, E] s\u00e3o representantes do mesmo vetor.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23803' onClick='GTTabs_show(0,23803)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A figura seguinte \u00e9 constitu\u00edda por tr\u00eas tri\u00e2ngulos iguais. Quantas dire\u00e7\u00f5es est\u00e3o definidas pelos lados dos tri\u00e2ngulos? Indica:a)\u00a0dois segmentos de reta orientados equipolentes a [A, B];b)\u00a0o segmento de reta orientado equipolente&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":23805,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,685],"tags":[424,67,688],"series":[],"class_list":["post-23803","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-isometrias","tag-8-o-ano","tag-geometria","tag-vetores"],"views":247,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag084-1_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23803","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=23803"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23803\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23805"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23803"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23803"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23803"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23803"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}