{"id":130502,"date":"2021-08-23T12:03:00","date_gmt":"2021-08-23T15:03:00","guid":{"rendered":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/?post_type=eaja&#038;p=130502"},"modified":"2021-12-22T10:57:05","modified_gmt":"2021-12-22T12:57:05","slug":"matematica-propriedades-dos-quadrilateros","status":"publish","type":"eaja","link":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/eaja\/matematica-propriedades-dos-quadrilateros\/","title":{"rendered":"Matem\u00e1tica &#8211; Propriedades dos Quadril\u00e1teros"},"content":{"rendered":"\n<p class=\"has-white-color has-text-color has-background\" style=\"background-color:#0f4c5c;font-size:22px\"><em>Ol\u00e1! Esta aula de&nbsp;<strong>Matem\u00e1tica&nbsp;<\/strong>&nbsp;<\/em>\u00e9 destinada aos educandos da<strong>&nbsp;7\u00aa S\u00e9rie<\/strong>&nbsp;da Eaja.<\/p>\n\n\n\n<p class=\"has-text-align-center has-white-color has-text-color has-background\" style=\"background-color:#e36414;font-size:22px\">Nesta aula voc\u00ea estudar\u00e1 <strong>os quadril\u00e1teros<\/strong> ret\u00e2ngulo, quadrado e losango, e suas propriedades.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilateros-e1629717834921.png\" alt=\"\" class=\"wp-image-130509\" width=\"410\" height=\"246\" srcset=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilateros-e1629717834921.png 365w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilateros-e1629717834921-300x180.png 300w\" sizes=\"(max-width: 410px) 100vw, 410px\" \/><figcaption>Fonte: Imagem: arquivo pessoal do Prof. H\u00e9lio Rocha<\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center has-white-color has-text-color has-background\" style=\"background-color:#fb8b24;font-size:22px\"><strong>ASSISTA \u00c0 VIDEOAULA A SEGUIR COM A TEM\u00c1TICA QUADRIL\u00c1TEROS<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<p class=\"responsive-video-wrap clr\"><iframe title=\"Matem\u00e1tica - 7\u00aas\u00e9rie - Quadril\u00e1teros\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/9MnVmw21hGg?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/div><\/figure>\n\n\n\n<p class=\"has-medium-font-size\">Na videoaula do professor H\u00e9lio Rocha voc\u00ea aprendeu que os <strong>quadril\u00e1teros <\/strong> s\u00e3o pol\u00edgonos que possuem 4 lados, 2 diagonais e com soma dos seus \u00e2ngulos internos igual a 360\u00b0.<\/p>\n\n\n\n<p class=\"has-text-align-center has-white-color has-text-color has-background has-medium-font-size\" style=\"background-color:#9a031e\">Observe a figura a seguir<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" width=\"328\" height=\"212\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilateros1-e1629719065823.png\" alt=\"\" class=\"wp-image-130512\" srcset=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilateros1-e1629719065823.png 328w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilateros1-e1629719065823-300x194.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><figcaption>Imagem: arquivo pessoal do Prof. H\u00e9lio Rocha<br><\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center has-white-color has-text-color has-background\" style=\"background-color:#5f0f40;font-size:21px\">Quadril\u00e1tero ABCD, com v\u00e9rtices nos pontos A, B, C e D e diagonais f e g.<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\">Os quadril\u00e1teros <strong>se classificam de acordo com a posi\u00e7\u00e3o relativa entre seus lados opostos<\/strong>. <\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Paralelogramo<\/strong>: s\u00e3o quadril\u00e1teros que possuem dois pares de lados opostos paralelos.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Trap\u00e9zio<\/strong>: s\u00e3o quadril\u00e1teros que possuem um par de lados opostos paralelos.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Quadril\u00e1tero<\/strong> <strong>qualquer<\/strong>: n\u00e3o possuem pares de lados opostos paralelos.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"959\" height=\"174\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilatero2-e1629719507777.png\" alt=\"\" class=\"wp-image-130513\" srcset=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilatero2-e1629719507777.png 959w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilatero2-e1629719507777-300x54.png 300w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilatero2-e1629719507777-768x139.png 768w\" sizes=\"(max-width: 959px) 100vw, 959px\" \/><figcaption>Fonte: arquivo pessoal do Prof. H\u00e9lio Rocha<br><\/figcaption><\/figure>\n\n\n\n<p class=\"has-white-color has-text-color has-background has-medium-font-size\" style=\"background-color:#0f4c5c\">No <strong>paralelogramo EFGH<\/strong>, os pares de lados EF e GH, FG e EH s\u00e3o opostos e paralelos e no <strong>Trap\u00e9zio IJKL<\/strong>, o par de lados IL e JK s\u00e3o opostos e paralelos. Todos possuem somente 2 diagonais.<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"has-white-color has-text-color has-background\" style=\"background-color:#e36414;font-size:22px\">Atividade 1<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Observe os quadril\u00e1teros abaixo e responda as quest\u00f5es a seguir.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"916\" height=\"286\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilatero3-e1629719848398.png\" alt=\"\" class=\"wp-image-130514\" srcset=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilatero3-e1629719848398.png 916w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilatero3-e1629719848398-300x94.png 300w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilatero3-e1629719848398-768x240.png 768w\" sizes=\"(max-width: 916px) 100vw, 916px\" \/><figcaption>Fonte: Imagem: arquivo pessoal do Prof. H\u00e9lio Rocha<br><\/figcaption><\/figure><\/div>\n\n\n\n<ul class=\"has-medium-font-size wp-block-list\"><li>identifique com (P) para paralelogramo, (I) para trap\u00e9zio e (QQ) para quadril\u00e1tero qualquer.<\/li><li>o(s) par(res) de lado(s) paralelo(s) nos quadril\u00e1teros identificados como trap\u00e9zio e como paralelogramo.<\/li><\/ul>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"has-text-align-center has-white-color has-text-color has-background\" style=\"background-color:#fb8b24;font-size:22px\"><strong>Propriedades dos Paralelogramos<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Devido ao fato de os paralelogramos possu\u00edrem 2 pares de lados paralelos, podemos destacar algumas propriedades.<\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#efe9ae\">Possuem lados opostos congruentes (mesma medida)<\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#efe9ae\">Possuem \u00e2ngulos opostos congruentes (mesma medida)<\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#efe9ae\">Possuem \u00e2ngulos adjacentes suplementares (soma entre eles \u00e9 igual a 180\u00b0)<\/p>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color has-background has-medium-font-size\" style=\"background-color:#efe9ae\">As diagonais de um paralelogramo cruzam-se em seus pontos m\u00e9dios. Analise a imagem a seguir.<\/p>\n\n\n\n<p class=\"has-text-align-center has-white-color has-text-color has-background\" style=\"background-color:#fb8b24;font-size:22px\"><strong>Classifica\u00e7\u00e3o dos Paralelogramos<\/strong><\/p>\n\n\n\n<h1 class=\"has-medium-font-size wp-block-heading\"><\/h1>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilatero8-e1629726120925.png\" alt=\"\" class=\"wp-image-130548\" width=\"835\" height=\"484\" srcset=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilatero8-e1629726120925.png 759w, https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2021\/08\/quadrilatero8-e1629726120925-300x174.png 300w\" sizes=\"(max-width: 835px) 100vw, 835px\" \/><\/figure><\/div>\n\n\n\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"has-white-color has-text-color has-background has-medium-font-size\" style=\"background-color:#e36414\">Atividade 2<\/p>\n\n\n\n<ol class=\"has-medium-font-size wp-block-list\"><li>De acordo com as dicas, indique qual quadril\u00e1tero est\u00e1 se referindo?<\/li><\/ol>\n\n\n\n<p class=\"has-medium-font-size\">Dica 1: Possui lados opostos paralelos e congruentes.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Dica 2: Possui diagonais congruentes.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Dica 3: Possui diagonais perpendiculares entre si e que se cruzam no ponto m\u00e9dio.<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"has-medium-font-size\">2. Indique V para verdadeiro e F para falso nas seguintes afirma\u00e7\u00f5es: <strong><em>Em todo ret\u00e2ngulo, os lados opostos s\u00e3o congruentes e as diagonais s\u00e3o congruentes entre si.<\/em><\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Em todo ret\u00e2ngulo, os lados opostos s\u00e3o congruentes e as diagonais s\u00e3o congruentes entre si.&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Em todo ret\u00e2ngulo, os lados opostos s\u00e3o congruentes e as diagonais s\u00e3o congruentes entre si.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Todo quadrado \u00e9 um paralelogramo.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Todo quadrado \u00e9 um losango.<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"has-medium-font-size\">3. O per\u00edmetro de um paralelogramo ABCD \u00e9 igual a 72cm.<\/p>\n\n\n\n<ol class=\"has-medium-font-size wp-block-list\"><li>Sabendo que BC tem o dobro da medida de AB, determine quantos cent\u00edmetros tem cada lado desse paralelogramo.<\/li><li>Sendo BD e AC suas diagonais e o O o ponto de intersec\u00e7\u00e3o, qual \u00e9 a medida de OD sabendo que BD mede 24cm?<\/li><\/ol>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"has-medium-font-size\">Finalizamos nossa aula de hoje. Na pr\u00f3xima aula conversaremos sobre os trap\u00e9zios. At\u00e9 l\u00e1!!! Abra\u00e7os!<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Refer\u00eancias<\/td><td>Sousa, Joamir Roberto de \u2013 Matem\u00e1tica realidade &amp; tecnologia: 8\u00ba ano.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Componente Curricular<\/td><td>Objetivo de aprendizagem e desenvolvimento<\/td><\/tr><tr><td>Matem\u00e1tica<\/td><td>(EAJAMA0718) Reconhecer e verificar as propriedades de quadril\u00e1teros por meio da identifica\u00e7\u00e3o da congru\u00eancia de tri\u00e2ngulos.&nbsp;<br><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-cyan-bluish-gray-background-color has-background\" style=\"font-size:25px\"> Professor, essa aula segue a Matriz Estruturante para a Eaja 2021. Foi elaborada no ano de 2020, com a suspens\u00e3o das aulas presenciais devido a pandemia da Covid-19 e segue as orienta\u00e7\u00f5es de flexibiliza\u00e7\u00e3o curricular para o bi\u00eanio 2020\/2021 (Of\u00edcio Circular 149\/2020 Dirped). <\/p>\n","protected":false},"author":40,"featured_media":130509,"template":"","meta":{"_acf_changed":false,"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":""},"eaja_categoria":[69],"serie":[76],"eaja_componente":[78],"class_list":["post-130502","eaja","type-eaja","status-publish","has-post-thumbnail","hentry","eaja_categoria-2o-segmento-7a-e-8a-serie","serie-7a-serie","eaja_componente-matematica","entry","has-media"],"acf":[],"_links":{"self":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja\/130502","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja"}],"about":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/types\/eaja"}],"author":[{"embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/users\/40"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media\/130509"}],"wp:attachment":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media?parent=130502"}],"wp:term":[{"taxonomy":"eaja_categoria","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_categoria?post=130502"},{"taxonomy":"serie","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/serie?post=130502"},{"taxonomy":"eaja_componente","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_componente?post=130502"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}