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{"id":24300,"date":"2023-01-08T17:28:55","date_gmt":"2023-01-08T17:28:55","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24300"},"modified":"2023-01-17T23:43:44","modified_gmt":"2023-01-17T23:43:44","slug":"o-chao-da-cozinha-da-escola-da-maria","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24300","title":{"rendered":"O ch\u00e3o da cozinha da escola da Maria"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24300' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24300' class='GTTabs_curr'><a  id=\"24300_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24300' ><a  id=\"24300_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_24300'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>O ch\u00e3o da cozinha da escola da Maria foi pavimentado com ladrilhos id\u00eanticos ao da figura da esquerda.<br \/>A figura da direita representa parte dessa pavimenta\u00e7\u00e3o.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24302\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24302\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2.png\" data-orig-size=\"737,321\" 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_Pag114-2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2.png\" class=\"aligncenter wp-image-24302\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2-300x131.png\" alt=\"\" width=\"520\" height=\"226\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2-300x131.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2.png 737w\" sizes=\"auto, (max-width: 520px) 100vw, 520px\" \/><\/a><\/p>\n<ol>\n<li>Indica:<br \/>a) o transformado do ladrilho <strong>h<\/strong> pela reflex\u00e3o de eixo AB;<br \/>b)\u00a0o transformado do ladrilho <strong>h<\/strong> pela transla\u00e7\u00e3o de vetor \\(\\overrightarrow {AB} \\);<br \/>c)\u00a0o transformado do ladrilho <strong>h<\/strong> pela rota\u00e7\u00e3o de centro C e amplitude 180\u00b0.<br \/><br \/><\/li>\n<li>Diz, justificando, se s\u00e3o verdadeiras ou falsas as seguintes afirma\u00e7\u00f5es:<br \/>a) A figura <strong>c<\/strong> \u00e9 a imagem da figura <strong>a<\/strong> por uma determinada isometria.<br \/>b) Pode transformar-se <strong>n<\/strong> em <strong>f<\/strong> por meio de uma rota\u00e7\u00e3o de 180\u00b0.<br \/>c) <strong>e<\/strong> \u00e9 o transformado de <strong>i<\/strong> na transla\u00e7\u00e3o de vetor\u00a0 \\(\\overrightarrow {CD} \\).<br \/>d) <strong>q<\/strong> \u00e9 o transformado de <strong>p<\/strong> por \\({T_{\\overrightarrow {AB} + \\overrightarrow {CD} }}\\).<br \/>e) Existe uma reflex\u00e3o axial que transforma <strong>d<\/strong> em <strong>h<\/strong>.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24300' onClick='GTTabs_show(1,24300)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24300'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>O ch\u00e3o da cozinha da escola da Maria foi pavimentado com ladrilhos id\u00eanticos ao da figura da esquerda.<br \/>A figura da direita representa parte dessa pavimenta\u00e7\u00e3o.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24302\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24302\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2.png\" data-orig-size=\"737,321\" 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_Pag114-2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2.png\" class=\"aligncenter wp-image-24302\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2-300x131.png\" alt=\"\" width=\"520\" height=\"226\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2-300x131.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2.png 737w\" sizes=\"auto, (max-width: 520px) 100vw, 520px\" \/><\/a><\/p>\n<ol>\n<li><br \/>a) O transformado do ladrilho <strong>h<\/strong> pela reflex\u00e3o de eixo AB \u00e9 o ladrilho <strong>o<\/strong>;<br \/>b) O transformado do ladrilho <strong>h<\/strong> pela transla\u00e7\u00e3o de vetor \\(\\overrightarrow {AB} \\) \u00e9 o ladrilho <strong>f<\/strong>;<br \/>c) O transformado do ladrilho <strong>h<\/strong> pela rota\u00e7\u00e3o de centro C e amplitude 180\u00b0 \u00e9 o ladrilho <strong>j<\/strong>.<br \/><br \/><\/li>\n<li><br \/>a) &#8220;A figura <strong>c<\/strong> \u00e9 a imagem da figura <strong>a<\/strong> por uma determinada isometria.&#8221;<br \/>A afirma\u00e7\u00e3o \u00e9 verdadeira, pois \\({T_{\\overrightarrow {BA} }}\\left( a \\right) = c\\).<br \/>b) &#8220;Pode transformar-se <strong>n<\/strong> em <strong>f<\/strong> por meio de uma rota\u00e7\u00e3o de 180\u00b0.&#8221;<br \/>A afirma\u00e7\u00e3o \u00e9 falsa, pois a amplitude adequada \u00e9 um m\u00faltiplo \u00edmpar de 90\u00b0.<br \/>c) &#8220;<strong>e<\/strong> \u00e9 o transformado de <strong>i<\/strong> na transla\u00e7\u00e3o de vetor\u00a0 \\(\\overrightarrow {CD} \\).&#8221;<br \/>A afirma\u00e7\u00e3o \u00e9 falsa, pois o vetor adequado \u00e9 o sim\u00e9trico do indicado: \\(\\overrightarrow {DC} \\).<br \/>d) &#8220;<strong>q<\/strong> \u00e9 o transformado de <strong>p<\/strong> por \\({T_{\\overrightarrow {AB} + \\overrightarrow {CD} }}\\).&#8221;<br \/>A afirma\u00e7\u00e3o \u00e9 verdadeira, pois o vetor soma de \\({\\overrightarrow {AB} + \\overrightarrow {CD} }\\) \u00e9 um vetor de dire\u00e7\u00e3o vertical, de sentido de cima para baixo e com comprimento qu\u00e1druplo do comprimento da quadr\u00edcula.<br \/>e) &#8220;Existe uma reflex\u00e3o axial que transforma <strong>d<\/strong> em <strong>h<\/strong>.&#8221;<br \/>A afirma\u00e7\u00e3o \u00e9 falsa.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24300' onClick='GTTabs_show(0,24300)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O ch\u00e3o da cozinha da escola da Maria foi pavimentado com ladrilhos id\u00eanticos ao da figura da esquerda.A figura da direita representa parte dessa pavimenta\u00e7\u00e3o. Indica:a) o transformado do ladrilho h&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":24303,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,685],"tags":[424,67,686,687,382,381,688],"series":[],"class_list":["post-24300","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-isometria","tag-reflexao","tag-rotacao","tag-translacao","tag-vetores"],"views":203,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag114-2_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24300","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=24300"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24300\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/24303"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24300"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24300"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24300"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24300"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}