{"id":9786,"date":"2012-10-02T15:50:40","date_gmt":"2012-10-02T14:50:40","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=9786"},"modified":"2022-01-20T18:31:43","modified_gmt":"2022-01-20T18:31:43","slug":"os-dois-paralelepipedos-sao-semelhantes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=9786","title":{"rendered":"Os dois paralelep\u00edpedos s\u00e3o semelhantes?"},"content":{"rendered":"<p><ul id='GTTabs_ul_9786' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_9786' class='GTTabs_curr'><a  id=\"9786_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_9786' ><a  id=\"9786_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_9786'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Os dois paralelep\u00edpedos da figura s\u00e3o semelhantes? Porqu\u00ea?<\/p>\n<div id=\"attachment_9788\" style=\"width: 329px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-9788\" data-attachment-id=\"9788\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=9788\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos.jpg\" data-orig-size=\"319,196\" 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;}\" data-image-title=\"Paralelep\u00edpedos\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Paralelep\u00edpedos&lt;\/p&gt;\n\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos.jpg\" class=\"size-full wp-image-9788\" title=\"Paralelep\u00edpedos\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos.jpg\" alt=\"\" width=\"319\" height=\"196\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos.jpg 319w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos-300x184.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos-150x92.jpg 150w\" sizes=\"auto, (max-width: 319px) 100vw, 319px\" \/><\/a><p id=\"caption-attachment-9788\" class=\"wp-caption-text\">Paralelep\u00edpedos<\/p><\/div>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_9786' onClick='GTTabs_show(1,9786)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_9786'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Os paralelep\u00edpedos n\u00e3o s\u00e3o semelhantes, pois os comprimentos das arestas correspondentes n\u00e3o s\u00e3o diretamente proporcionais:<\/p>\n<p>$$\\frac{3}{6} = \\frac{2}{4} \\ne \\frac{1}{3}$$<\/p>\n<div id=\"attachment_9788\" style=\"width: 329px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-9788\" data-attachment-id=\"9788\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=9788\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos.jpg\" data-orig-size=\"319,196\" 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;}\" data-image-title=\"Paralelep\u00edpedos\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Paralelep\u00edpedos&lt;\/p&gt;\n\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos.jpg\" class=\"size-full wp-image-9788\" title=\"Paralelep\u00edpedos\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos.jpg\" alt=\"\" width=\"319\" height=\"196\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos.jpg 319w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos-300x184.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/paralelepipedos-150x92.jpg 150w\" sizes=\"auto, (max-width: 319px) 100vw, 319px\" \/><\/a><p id=\"caption-attachment-9788\" class=\"wp-caption-text\">Paralelep\u00edpedos<\/p><\/div>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_9786' onClick='GTTabs_show(0,9786)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Os dois paralelep\u00edpedos da figura s\u00e3o semelhantes? Porqu\u00ea? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20759,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[321,97,322],"tags":[429,430,323],"series":[],"class_list":["post-9786","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-10-o-ano","category-aplicando","category-modulo-inicial","tag-10-o-ano","tag-modulo-inicial","tag-razao-de-semelhanca"],"views":3912,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/10V1Pag033-1-b_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/9786","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=9786"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/9786\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20759"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9786"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9786"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9786"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=9786"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}