{"id":23946,"date":"2022-12-28T19:37:37","date_gmt":"2022-12-28T19:37:37","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23946"},"modified":"2023-01-16T23:09:15","modified_gmt":"2023-01-16T23:09:15","slug":"dois-pentagonos-iguais","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23946","title":{"rendered":"Dois pent\u00e1gonos iguais"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23946' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23946' class='GTTabs_curr'><a  id=\"23946_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23946' ><a  id=\"23946_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_23946'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Na figura, est\u00e1 representada uma grelha quadriculada onde foram desenhados dois pent\u00e1gonos iguais, A e B, uma reta \\(r\\) e um vetor \\({\\vec u}\\), com a mesma dire\u00e7\u00e3o da reta \\(r\\).<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23947\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23947\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4.png\" data-orig-size=\"540,173\" 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_Pag097-4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4.png\" class=\"aligncenter wp-image-23947\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4-300x96.png\" alt=\"\" width=\"480\" height=\"154\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4-300x96.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4.png 540w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/a><\/p>\n<ol>\n<li>Determina a imagem \\(A&#8217;\\),\u00a0do pent\u00e1gono \\(A\\), pela reflex\u00e3o deslizante de eixo \\(r\\) e de vetor \\({\\vec u}\\) e, depois, determina a imagem \\({A^{&#8221;}}\\), do pent\u00e1gono \\(A&#8217;\\),\u00a0pela mesma reflex\u00e3o deslizante.<\/li>\n<li>Identifica uma isometria (reflex\u00e3o axial, rota\u00e7\u00e3o, transla\u00e7\u00e3o ou reflex\u00e3o deslizante) que transforme o pent\u00e1gono \\(A\\) em \\({A^{&#8221;}}\\).<\/li>\n<li>O pent\u00e1gono \\(B\\) \u00e9 o transformado de \\(A\\) pela reflex\u00e3o deslizante de eixo \\(r\\) e de vetor \\({\\vec v}\\). Identifica o vetor \\({\\vec v}\\).<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23946' onClick='GTTabs_show(1,23946)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23946'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><\/p>\n<p>Na figura, est\u00e1 representada uma grelha quadriculada onde foram desenhados dois pent\u00e1gonos iguais, A e B, uma reta \\(r\\) e um vetor \\({\\vec u}\\), com a mesma dire\u00e7\u00e3o da reta \\(r\\).<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23947\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23947\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4.png\" data-orig-size=\"540,173\" 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_Pag097-4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4.png\" class=\"aligncenter wp-image-23947\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4-300x96.png\" alt=\"\" width=\"480\" height=\"154\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4-300x96.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag097-4.png 540w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/a><\/p>\n<ol>\n<li>Determina a imagem \\(A&#8217;\\),\u00a0do pent\u00e1gono \\(A\\), pela reflex\u00e3o deslizante de eixo \\(r\\) e de vetor \\({\\vec u}\\) e, depois, determina a imagem \\({A^{&#8221;}}\\), do pent\u00e1gono \\(A&#8217;\\),\u00a0pela mesma reflex\u00e3o deslizante.<br \/><span style=\"color: #0000ff;\">As imagens \\(A&#8217;\\) e \\({A^{&#8221;}}\\) est\u00e3o determinadas abaixo.<\/span><\/li>\n<li>Identifica uma isometria (reflex\u00e3o axial, rota\u00e7\u00e3o, transla\u00e7\u00e3o ou reflex\u00e3o deslizante) que transforme o pent\u00e1gono \\(A\\) em \\({A^{&#8221;}}\\).<br \/><span style=\"color: #0000ff;\">Uma isometria que transforma o pent\u00e1gono \\(A\\) em \\({A^{&#8221;}}\\) \u00e9, por exemplo, a transla\u00e7\u00e3o de vetor \\(2\\vec u\\).<\/span><\/li>\n<li>O pent\u00e1gono \\(B\\) \u00e9 o transformado de \\(A\\) pela reflex\u00e3o deslizante de eixo \\(r\\) e de vetor \\({\\vec v}\\). Identifica o vetor \\({\\vec v}\\).<br \/><span style=\"color: #0000ff;\">O vetor \\(\\vec v = \\frac{4}{3}\\vec u\\) est\u00e1 identificado abaixo.<\/span><\/li>\n<\/ol>\n<p><br \/><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"margin: 0 auto;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":889,\r\n\"height\":478,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 73 62 | 1 501 67 , 5 19 , 72 75 76 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24  20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49  50 , 71  14  68 | 30 29 54 32 31 33 | 25 17 26 60 52 61 | 40 41 42 , 27 28 35 , 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\",\r\n};\r\n\/\/ is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator DA=Data Analysis, FI=Function Inspector, macro=Macros\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 1,'PC': 0,'DA': 0,'FI': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\napplet.setPreviewImage('data:image\/png;base64,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