{"id":133858,"date":"2025-01-17T17:05:16","date_gmt":"2025-01-17T20:05:16","guid":{"rendered":"https:\/\/vestibulares.estrategia.com\/portal\/?p=133858"},"modified":"2025-01-24T15:13:16","modified_gmt":"2025-01-24T18:13:16","slug":"posicoes-relativas-entre-retas-na-geometria-plana-entenda-o-assunto","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/posicoes-relativas-entre-retas-na-geometria-plana-entenda-o-assunto\/","title":{"rendered":"Posi\u00e7\u00f5es relativas entre retas na Geometria Plana: entenda o assunto"},"content":{"rendered":"<p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-8240318e-9e58-49f8-a531-4789c8a4158f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria-euclidiana\">geometria plana<\/span> &eacute; uma das &aacute;reas que estuda as figuras planas, iniciando-se nos conceitos de <span id=\"urn:enhancement-f8ada0b6-c26d-4bb9-be4e-f923f2f2f702\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span>, <span id=\"urn:enhancement-1530b5d0-a65b-4324-a2c4-4b1e43406131\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> e <span id=\"urn:enhancement-03098e10-9f3d-4f79-bbad-4109017e52c1\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/plano\">plano<\/span>, e, com isso, aprofundando at&eacute; a constru&ccedil;&atilde;o das figuras planas, com o <span id=\"urn:enhancement-b2b1101c-5eff-4a14-95f5-8f5f50067214\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/calculo\">c&aacute;lculo<\/span> de suas respectivas &aacute;reas e per&iacute;metros.&nbsp;<p class=\"wp-block-paragraph\">Dentro das <span id=\"urn:enhancement-f43a76a0-d7db-4a34-b2da-b258e88d7f43\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> &eacute; importante a compreens&atilde;o sobre as posi&ccedil;&otilde;es relativas entre elas, al&eacute;m disso, a percep&ccedil;&atilde;o da forma&ccedil;&atilde;o de um <span id=\"urn:enhancement-f087cba9-6d1e-4fb5-9d56-f235a0312b19\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/plano\">plano<\/span> e, consequentemente, o <span id=\"urn:enhancement-d6ccf13e-10f6-4ba6-9951-c50066067cae\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/calculo\">c&aacute;lculo<\/span> de &aacute;reas.<\/p><p class=\"wp-block-paragraph\">As posi&ccedil;&otilde;es entre <span id=\"urn:enhancement-a39b3059-d341-4f5e-9a10-93e66902df1a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> s&atilde;o importantes tanto no dia a dia, como cruzamento de ruas, quanto nas provas de vestibulares, seja em exerc&iacute;cios de somente analisar as imagens, ou nas quest&otilde;es que pedem para definir onde uma <span id=\"urn:enhancement-0809da06-16f7-4e2b-bfcf-dcd9ec4e2ea1\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> encontra uma <span id=\"urn:enhancement-2d9516a9-6cb8-468f-8e0c-29a5e8f0600c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span> por meio de c&aacute;lculos.&nbsp;<\/p><p class=\"wp-block-paragraph\">As <span id=\"urn:enhancement-8219967b-8a2a-4601-a932-132cabf9f14d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> podem ser classificadas como paralelas, concorrentes ou coincidentes e saber as diferen&ccedil;as entre essas classifica&ccedil;&otilde;es &eacute; fundamental para sua prova.<\/p><p class=\"wp-block-paragraph\">Mas antes de aprofundar nesse assunto &eacute; importante que conceitos b&aacute;sicos, como o que &eacute; uma <span id=\"urn:enhancement-90ad77c5-f02c-4685-a788-30b1e6cdc976\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> ou a defini&ccedil;&atilde;o de um <span id=\"urn:enhancement-30ec2564-8892-454e-a9c8-d4071a716cb5\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/plano\">plano<\/span>, estejam bem consolidados para voc&ecirc;.&nbsp;<\/p><p class=\"wp-block-paragraph\">Entenda um pouco mais sobre a diferen&ccedil;a das posi&ccedil;&otilde;es relativas entre <span id=\"urn:enhancement-684399a4-d6f0-4fde-8f67-35d5d32ef89d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> e suas principais caracter&iacute;sticas. Ao final, treine sua compreens&atilde;o com quest&otilde;es relacionadas ao assunto.<\/p><p class=\"wp-block-paragraph\"><div class=\"cta-medio\" style=\"background-image: url(https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/08\/curso-enem-1-estrategia-vestibulares-ctamedio.jpg);\"><h3>Pacote Enem TOP <\/h3> <p>Estude com o Estrat\u00e9gia Vestibulares<\/p><div class=\"cta-botao\"><a id=\"cta-medio\" href=\"https:\/\/vestibulares.estrategia.com\/curso\/enem-top\/\" target=\"_blank\" style=\"background:rgb(255,150,0)\">Saiba mais<\/a><\/div><\/div>\n\n\n\n<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/posicoes-relativas-entre-retas-na-geometria-plana-entenda-o-assunto\/#Conceitos-basicos\" >Conceitos b&aacute;sicos<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/posicoes-relativas-entre-retas-na-geometria-plana-entenda-o-assunto\/#Posicoes-relativas-entre-duas-retas\" >Posi&ccedil;&otilde;es relativas entre duas retas&nbsp;<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/posicoes-relativas-entre-retas-na-geometria-plana-entenda-o-assunto\/#Aplicacoes-da-geometria-plana-no-cotidiano\" >Aplica&ccedil;&otilde;es da geometria plana no cotidiano<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/posicoes-relativas-entre-retas-na-geometria-plana-entenda-o-assunto\/#Exercicio-de-posicoes-relativas-de-retas\" >Exerc&iacute;cio de posi&ccedil;&otilde;es relativas de retas<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/posicoes-relativas-entre-retas-na-geometria-plana-entenda-o-assunto\/#Estude-com-o-Estrategia-Vestibulares\" >Estude com o Estrat&eacute;gia Vestibulares<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-conceitos-basicos\"><span class=\"ez-toc-section\" id=\"Conceitos-basicos\"><\/span>Conceitos b&aacute;sicos<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Primeiramente, revise abaixo alguns conceitos b&aacute;sicos da <span id=\"urn:enhancement-a81278fc-635e-4dc2-bb32-3b4f119a063a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria-euclidiana\">geometria plana<\/span>:<\/p><h3 class=\"wp-block-heading\" id=\"h-reta\">Reta<\/h3><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-21c629a6-7993-452a-beb0-c1045eef5bc1\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> &eacute; caracterizada como uni&atilde;o de <span id=\"urn:enhancement-a2d11fc0-ead7-4239-85d2-c2c734b5c978\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">pontos<\/span>, ou seja, para criar uma <span id=\"urn:enhancement-855a9f88-ba44-482c-ae13-c203c5ea1acb\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> &eacute; necess&aacute;rio no m&iacute;nimo 2 <span id=\"urn:enhancement-dc378201-329d-4fd6-b37e-140b167659f1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">pontos<\/span> e dado esses 2 <span id=\"urn:enhancement-eabeacde-4e83-42ed-89a3-35e90c68ebab\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">pontos<\/span> basta uni-los.&nbsp;<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXcSu6_Gptre0V0Eh8Q8QnO2zBwXbUwudl-p17bPZcjEavyX9YIx8KTYBg3-YDPBcLULfVplRxmNIT1Ejnyys6IipgpH9qd2fH-_fiCkPQI34gDbQir0ZfkJbNYWPJdwPIqRFhBP?key=-QYvDbSB_qwSguUmPHyDB_Jh\" alt=\"\"><\/figure><h3 class=\"wp-block-heading\" id=\"h-segmento-de-reta-nbsp\">Segmento de reta&nbsp;<\/h3><p class=\"wp-block-paragraph\">O segmento de <span id=\"urn:enhancement-189c0768-66de-45f0-a9fe-5c0978482b93\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> &eacute; caracterizado como um fragmento de <span id=\"urn:enhancement-c8364c9a-bbf5-4c2d-aaf9-bb7701640c42\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> que inclui os <span id=\"urn:enhancement-57ce5513-dd84-41e6-9e1a-c9f465822032\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">pontos<\/span> originais da <span id=\"urn:enhancement-a2260a9a-e8a3-4a60-9def-95fb7d00d172\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span>. Ap&oacute;s identificar os 2 <span id=\"urn:enhancement-0abc51f8-6e90-4fd4-aaa0-3b92f8f3e76c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">pontos<\/span> origin&aacute;rios basta cortar antes do primeiro <span id=\"urn:enhancement-4de6b4dd-386c-4245-ad1c-264b1694e448\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span>&nbsp; posteriormente ao segundo <span id=\"urn:enhancement-cf1ae7c7-931a-45d6-bf76-1ebbabda1411\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span> e obter&aacute; um segmento de <span id=\"urn:enhancement-af4594d8-09d7-4448-8b60-71f6f3c1f8f7\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span>.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXe_lsTTQR6y13pc718gzD0V7eqfA-tJalpu3dtBgaY7yix3IrhEKO4Ke9iYuZifRdtQC47T-zN8RFkyaJ_MvE6YSiBl53oblEnRE2E66nLw660C89JwGOg74TlZRIyznICdR_Tt5w?key=-QYvDbSB_qwSguUmPHyDB_Jh\" alt=\"\"><\/figure><h3 class=\"wp-block-heading\" id=\"h-semirreta\">Semirreta<\/h3><p class=\"wp-block-paragraph\">A semirreta &eacute; caracterizada como uma parte da <span id=\"urn:enhancement-cfaf2624-970b-4f4b-b4d5-de1a5190e9b8\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span>, ou seja, primeiramente uma <span id=\"urn:enhancement-a1eddc13-05f3-4038-acdc-d5210361b15a\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> &eacute; criada e, posteriormente, a partir de um <span id=\"urn:enhancement-58c1d98c-32ae-4b0c-ac5c-589101883cc6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span>, a <span id=\"urn:enhancement-4e224c87-6bf6-45db-8b5a-f84de8f56272\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> &eacute; fragmentada.&nbsp;<\/p><p class=\"wp-block-paragraph\">Em outras palavras, ap&oacute;s voc&ecirc; criar a <span id=\"urn:enhancement-db7d8754-937b-4023-a6ba-de0cd5d0e340\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span>, voc&ecirc; escolhe um <span id=\"urn:enhancement-6b66fb91-347f-4fa0-996a-b5a2e22ce6ec\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span> origin&aacute;rio dessa <span id=\"urn:enhancement-205bddb6-cd92-48f3-9980-11cf8b147ef2\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> e apaga ora antes dele, se for o primeiro <span id=\"urn:enhancement-695832ad-0875-4445-acb1-19b3d6e956e4\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span>, ora depois dele, se for o segundo <span id=\"urn:enhancement-a989633c-d337-48b2-978f-a47aebb3ad29\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span>.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXeSKBg_NHRO5VAbFaY09BJec6rQBkDLRaHSnjsJjSupgl1TkNHXpp3LRJ0zjbQBJyjBM1ReQ9-RCi_Iklsx-xpacxUXPQk31pL6GoXBOH3MMSvdll6GzdzLlxgYRPoSzWPfJKD3?key=-QYvDbSB_qwSguUmPHyDB_Jh\" alt=\"\"><\/figure><h3 class=\"wp-block-heading\" id=\"h-angulo\">&Acirc;ngulo<\/h3><p class=\"wp-block-paragraph\">O &acirc;ngulo &eacute; formado pela uni&atilde;o de duas semirretas, com um espa&ccedil;o entre elas, a partir de um <span id=\"urn:enhancement-d1d8ed2f-965c-49f7-baca-c11884070214\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span> em comum, v&eacute;rtice, podem ser medidos, indo de 0&ordm; a 360&ordm;, e s&atilde;o classificados como:&nbsp;<\/p><ul class=\"wp-block-list\">\n<li><strong>Agudo<\/strong>: quando o &acirc;ngulo mede entre 0&ordm; e 90&ordm;<\/li>\n\n\n\n<li><strong>Reto<\/strong>: quando o &acirc;ngulo mede exatamente 90&ordm;<\/li>\n\n\n\n<li><strong>Obtuso<\/strong>: quando o &acirc;ngulo mede entre 90&ordm; e 180&ordm;<\/li>\n\n\n\n<li><strong>Raso<\/strong>: quando o &acirc;ngulo mede exatamente 180&ordm;,&nbsp;&nbsp;<\/li>\n\n\n\n<li><strong>Nulo<\/strong>: quando o &acirc;ngulo mede exatamente 0&ordm;.<\/li>\n<\/ul><p class=\"wp-block-paragraph\">Al&eacute;m disso, os <strong>&acirc;ngulos complementares<\/strong> s&atilde;o aqueles que a soma resulta em 90&ordm; e os <strong>&acirc;ngulos suplementares<\/strong> s&atilde;o aqueles que a soma resulta em 180&ordm;.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXfSeHAPKJ5oHGe1AJZQ40-8PLz5PuspizaW8pN7B1TqRVIJibt4dvPwfxWDGjQOeWAg21aq9KizNOE6jYqGUHTg8NxwrqLDLJjo-nqgsqrcY70ahf_c1CIO4-SHIJ_ZEOtthNlZDg?key=-QYvDbSB_qwSguUmPHyDB_Jh\" alt=\"\"><\/figure><h3 class=\"wp-block-heading\" id=\"h-plano\">Plano<\/h3><p class=\"wp-block-paragraph\">O <span id=\"urn:enhancement-a7f2f9d3-b77c-411d-a333-a25667811efd\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/plano\">plano<\/span> pode ser definido de diferentes formas, dentre elas, 3 <span id=\"urn:enhancement-3e9f1f56-1cd2-4e2c-9f9a-cca8d8e4b536\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">pontos<\/span> n&atilde;o colineares, ou duas <span id=\"urn:enhancement-51b96335-fff4-4274-985e-234523802032\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> concorrentes contidas no mesmo <span id=\"urn:enhancement-1b9ea75f-9110-4dc7-ab3e-e64298093188\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/plano\">plano<\/span>, ou duas <span id=\"urn:enhancement-d50cdfd1-576f-4bba-b5af-534b66f4d99e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> paralelas contidas no <span id=\"urn:enhancement-bddbbb55-0dd0-41e5-b14e-8af3a1c0d61d\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/plano\">plano<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">Para melhor compreens&atilde;o segue abaixo a imagem das diversas formas de definir o <span id=\"urn:enhancement-44be4655-b2e9-4d1a-8065-48645a13adc1\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/plano\">plano<\/span>.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXcGSBraXcuh3Slc4X4wGY4Wrd1WaVHD_Ms667pKCHxJB6D4RpdDScDsgXQ4Yz592cXMpak7pyP4zarZ1RJJNISbWVW6jdNesVyjL2Heap5hm8qsHsis0554BSqrskkqnEayRW5Rsw?key=-QYvDbSB_qwSguUmPHyDB_Jh\" alt=\"\"><\/figure><p class=\"wp-block-paragraph\">Imagem: autoria pr&oacute;pria<\/p><h2 class=\"wp-block-heading\" id=\"h-posicoes-relativas-entre-duas-retas-nbsp\"><span class=\"ez-toc-section\" id=\"Posicoes-relativas-entre-duas-retas\"><\/span>Posi&ccedil;&otilde;es relativas entre duas retas&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">As posi&ccedil;&otilde;es relativas entre duas <span id=\"urn:enhancement-61087dda-347b-4d15-ba77-e247f3c36114\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> s&atilde;o entendidas como as formas como essas <span id=\"urn:enhancement-868bd387-6b87-4060-86a8-2c98225aaf30\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> podem interagir no <span id=\"urn:enhancement-faffde6c-dba7-4307-b6fd-52c6a1ed893a\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/plano\">plano<\/span>, seja entre elas ou seja entre elas e um <span id=\"urn:enhancement-8b5a8588-2825-4cd3-aca9-2c494f75c0e7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span>.<\/p><h3 class=\"wp-block-heading\" id=\"h-retas-concorrentes\">Retas concorrentes<\/h3><p class=\"wp-block-paragraph\"><span id=\"urn:enhancement-c7fb86c8-7252-4fc7-aff5-5863928eb2cc\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">Retas<\/span> concorrentes s&atilde;o caracterizadas por apresentarem &acirc;ngulos entre elas. Quando apresenta um <strong>&acirc;ngulo qualquer<\/strong> s&atilde;o chamadas apenas de <strong>concorrente<\/strong>, quando o &acirc;ngulo &eacute; de <strong>90&ordm;<\/strong> s&atilde;o chamadas de <strong>perpendiculares<\/strong>.&nbsp;<\/p><p class=\"wp-block-paragraph\">Al&eacute;m disso, as <span id=\"urn:enhancement-180046f6-32af-491b-8014-7308e4573a00\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> concorrentes apresentam a caracter&iacute;stica de possuir <strong>&acirc;ngulos opostos pelo v&eacute;rtice<\/strong>, veja na imagem abaixo como eles s&atilde;o posicionados visualmente.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXceOJfwz4QvJuWnhysXwqe0AVBkxvLtdjLOleTo3e_shk7nD_PA9IcaSXCDwLoFhgu4RHE7O1XQRlJbqIHhGP5sF19VpMUXXtNGQYf-Y9F7M0C5BShsfj16zx5gbcU-SZ2Pb2WkwA?key=-QYvDbSB_qwSguUmPHyDB_Jh\" alt=\"\"><\/figure><p class=\"wp-block-paragraph\">Imagem: autoria pr&oacute;pria<\/p><p class=\"wp-block-paragraph\">Como, por exemplo, o cruzamento entre duas ruas, forma o que consideramos <span id=\"urn:enhancement-d1f1d27b-a09d-4adf-9f45-f999b83276a3\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> perpendiculares.<\/p><h3 class=\"wp-block-heading\" id=\"h-retas-paralelas\">Retas paralelas<\/h3><p class=\"wp-block-paragraph\"><span id=\"urn:enhancement-7874eb3b-c8cb-4c8b-8297-bb6912fb85f0\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">Retas<\/span> paralelas s&atilde;o caracterizadas por duas <span id=\"urn:enhancement-3f319649-5dd2-4f59-9aa4-8ddc95e8faf9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> que nunca ir&atilde;o se cruzar por estarem uma ao lado da outra.<\/p><p class=\"wp-block-paragraph\">Uma caracter&iacute;stica importante das <span id=\"urn:enhancement-f78ae462-9b30-473a-8c27-77bbde58cfea\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> paralelas &eacute; a presen&ccedil;a dos &acirc;ngulos alternos internos, como na imagem abaixo.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXfPych6vh3Eh_BkRD77R45dWybgrmyIV-dXRqZE83qQ2Z6pWu7Er-hk9SMCRLmdtUuX40jO7OCg0-nZAFF4X1xfr9Y9wufP3gwdvuFbwgH9fzZ7lWsCvsbIayLA6dbkT8115EZk?key=-QYvDbSB_qwSguUmPHyDB_Jh\" alt=\"\"><\/figure><p class=\"wp-block-paragraph\">Imagem: autoria pr&oacute;pria<\/p><p class=\"wp-block-paragraph\">Dica: sempre que ver o Z os &acirc;ngulos s&atilde;o alternos internos e, consequentemente, iguais. Como por exemplo,duas ruas que s&atilde;o paralelas, apesar delas apresentarem ruas que as cruzam, as ruas paralelas nunca se cruzam.<\/p><h3 class=\"wp-block-heading\" id=\"h-retas-coincidentes\">Retas coincidentes<\/h3><p class=\"wp-block-paragraph\"><span id=\"urn:enhancement-a4244d78-4a5c-41ec-93c1-359641d9e3e0\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">Retas<\/span> coincidentes &eacute; uma subclassifica&ccedil;&atilde;o das <span id=\"urn:enhancement-5ac53e79-ea6c-4f26-afbc-9c61b0913c79\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> paralelas e s&atilde;o caracterizadas pela sobreposi&ccedil;&atilde;o das <span id=\"urn:enhancement-e7eed293-5b77-4f4b-a4d6-e7a1ab80bc80\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span>, uma <span id=\"urn:enhancement-d36a0ef9-b968-447d-b979-a5ef6f2be446\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> fica sobre a outra. Dessa forma, a equa&ccedil;&atilde;o de ambas as <span id=\"urn:enhancement-5c2e64f2-61e4-4573-9ad5-9410f4a67dbf\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> s&atilde;o iguais.&nbsp;<\/p><p class=\"wp-block-paragraph\">Abaixo temos uma imagem caracterizando melhor cada classifica&ccedil;&atilde;o das <span id=\"urn:enhancement-df7a3b68-064f-48d5-b738-47b09650ddc1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span>.&nbsp;<\/p><h2 class=\"wp-block-heading\" id=\"h-\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXfPfImjmGMoHc4TMkxd9ABwJmsUScZ0D_BTWsqe3HeQ7UXgeCA68LNFT1Vvc_gOFtO9POu57P-uuZ47vXpWvAxO1C_JszmlvURSg4hTHPqLNQp9JnF79fr6vlJLCaTy7mUhmfTG-Q?key=-QYvDbSB_qwSguUmPHyDB_Jh\" width=\"141\" height=\"137\"><\/h2><h2 class=\"wp-block-heading\" id=\"h-aplicacoes-da-geometria-plana-no-cotidiano\"><span class=\"ez-toc-section\" id=\"Aplicacoes-da-geometria-plana-no-cotidiano\"><\/span>Aplica&ccedil;&otilde;es da geometria plana no cotidiano<span class=\"ez-toc-section-end\"><\/span><\/h2><h3 class=\"wp-block-heading\" id=\"h-construcoes-geometricas-nbsp\">Constru&ccedil;&otilde;es geom&eacute;tricas&nbsp;<\/h3><p class=\"wp-block-paragraph\">Uma aplica&ccedil;&atilde;o de <span id=\"urn:enhancement-fd46f1a7-238b-4410-80d0-3cceaddbc805\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> para a constru&ccedil;&atilde;o geom&eacute;trica &eacute; quando, por exemplo, h&aacute; a forma&ccedil;&atilde;o de tri&acirc;ngulos a partir da equa&ccedil;&atilde;o das <span id=\"urn:enhancement-fef203b1-aeba-4372-838a-a1fffbbb6d6d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> formadoras desse tri&acirc;ngulo.&nbsp;&nbsp;<\/p><p class=\"wp-block-paragraph\">Na imagem abaixo, temos a equa&ccedil;&atilde;o da <span id=\"urn:enhancement-5e3aacb9-7066-43e6-8808-ae2cdea690e1\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> r (2x-3y+9=0), com isso conseguimos descobrir a equa&ccedil;&atilde;o da <span id=\"urn:enhancement-e4096de1-6c61-4e8d-9143-99cf82290713\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> S e por fim encontrar a &aacute;rea do tri&acirc;ngulo.&nbsp;<\/p><h3 class=\"wp-block-heading\" id=\"h-\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXfhvKS5z5iXAqUFtQ__3ahUzOhwS12Uhp_oyoKNeYn1xh6dKv36mFovXyO-Vp9sSiQTEMrW1wTfPsB0FJ19u3JzX7_brlBH97Zm0EjsK8YTLGuJjXWuHqrkpfpAQbIqvCDDtn3Z?key=-QYvDbSB_qwSguUmPHyDB_Jh\" width=\"343\" height=\"341\"><\/h3><p class=\"wp-block-paragraph\">Imagem: autoria pr&oacute;pria<\/p><h3 class=\"wp-block-heading\" id=\"h-calculo-de-angulos-nbsp\">C&aacute;lculo de &acirc;ngulos&nbsp;<\/h3><p class=\"wp-block-paragraph\">Um fato curioso utilizando &acirc;ngulos, foi quando Erat&oacute;stenes, h&aacute; cerca de 2100 anos, calculou a <span id=\"urn:enhancement-5038f75d-eef8-4d1e-8a2a-b8d90dbd84d3\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span> da Terra.&nbsp;<\/p><p class=\"wp-block-paragraph\">Erat&oacute;stenes observou que no solst&iacute;cio de ver&atilde;o, na cidade de Siena, ao meio-dia, o Sol ficava quase perpendicular, mas, em Alexandria, na mesma data e hora, isso n&atilde;o acontecia.&nbsp;<\/p><p class=\"wp-block-paragraph\">Ent&atilde;o ele concluiu que a Terra &eacute; redonda, pois se fosse plana, as sombras de duas varetas deveriam ser id&ecirc;nticas. Com isso, ele calculou que o &acirc;ngulo de dist&acirc;ncia entre as duas cidades deveria ser de 7,2&deg;.<\/p><p class=\"wp-block-paragraph\">Dividindo o valor de uma volta completa ,360&deg;, por 7,2&deg;, ele descobriu que o arco que separa as cidades vale 50. Erat&oacute;stenes sabia que a dist&acirc;ncia em linha <span id=\"urn:enhancement-c8a00f0e-3cac-4b69-b7e9-366e38763c26\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/reta\">reta<\/span> entre as duas cidades &eacute; de cerca de 800 km. Ao multiplicar 800 por 50, ele concluiu que a <span id=\"urn:enhancement-41be86e5-9179-4522-a30c-ffe036a973ab\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span> da Terra seria de cerca de 40 mil km, com a tecnologia atual a dist&acirc;ncia calculada foi de 40.075 Km.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXfoWeNnfJGbV1pkA0VgxTGruK2GgnucVHV0cVKU-3kXKty-wp5ga6uol9W757-xmFuRIe3XloTU_hEuYnCDqkGwL7tDg--xfXH6Ll-dykkxhKHMV3oALDjpKTdJGuKRSxnNG2Qv_Q?key=-QYvDbSB_qwSguUmPHyDB_Jh\" alt=\"\"><\/figure><h2 class=\"wp-block-heading\" id=\"h-exercicio-de-posicoes-relativas-de-retas\"><span class=\"ez-toc-section\" id=\"Exercicio-de-posicoes-relativas-de-retas\"><\/span>Exerc&iacute;cio de posi&ccedil;&otilde;es relativas de retas<span class=\"ez-toc-section-end\"><\/span><\/h2><h3 class=\"wp-block-heading\" id=\"h-ufsm-2020\">UFSM (2020)<\/h3><p class=\"wp-block-paragraph\">As <span id=\"urn:enhancement-32c9997c-aeeb-49ee-84d4-3bee015535ec\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/retas\">retas<\/span> r e s da figura a seguir s&atilde;o paralelas.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXf-u8-1Zdm4O5eNd-szFdG_GNWabK4OEyxABPGMDYhgNyZxdb5j6iTGqrIDLUdecZk47D6kRjtt2Fi86IvfFwLDCbL2_1lXG7ODHg4lzKQCshIhNRrLt5m5zUV_am8Y6E67iC2l?key=-QYvDbSB_qwSguUmPHyDB_Jh\" alt=\"\"><\/figure><p class=\"wp-block-paragraph\">&Eacute; correto afirmar que a medida, em graus, de x+y &eacute;<\/p><p class=\"wp-block-paragraph\">a)100<br>b)120<br>c)130<br>d)140<br>e)180<\/p><details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Resposta<\/summary>\n<p class=\"wp-block-paragraph\">Alternativa <strong>B<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"966\" fetchpriority=\"low\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/01\/resposta-exercicio-1024x966.jpeg\" alt=\"\" class=\"wp-image-133859\" srcset=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/01\/resposta-exercicio-1024x966.jpeg 1024w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/01\/resposta-exercicio-768x725.jpeg 768w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/01\/resposta-exercicio-800x755.jpeg 800w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/01\/resposta-exercicio-1160x1094.jpeg 1160w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/01\/resposta-exercicio.jpeg 1203w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/details><h2 class=\"wp-block-heading\" id=\"h-estude-com-o-estrategia-vestibulares\"><span class=\"ez-toc-section\" id=\"Estude-com-o-Estrategia-Vestibulares\"><\/span>Estude com o Estrat&eacute;gia Vestibulares<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">No curso preparat&oacute;rio da Coruja, voc&ecirc; poder&aacute; aprender com profundidade todas as mat&eacute;rias, incluindo, portanto, as ci&ecirc;ncias exatas, que s&atilde;o <span id=\"urn:enhancement-2e8d6b57-b63f-4ed6-8644-ab925eaa618e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">pontos<\/span> de grande interesse para os vestibulandos. Al&eacute;m disso, o Estrat&eacute;gia fornece aulas, simulados e trilhas estrat&eacute;gicas que te ajudam na programa&ccedil;&atilde;o e avalia&ccedil;&atilde;o do conhecimento em todas as disciplinas mais importantes para todos os vestibulares nacionais.&nbsp;<\/p><p class=\"wp-block-paragraph\">Quer saber mais? 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