{"id":197192,"date":"2025-03-06T18:36:05","date_gmt":"2025-03-06T18:36:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=197192"},"modified":"2025-03-06T18:36:08","modified_gmt":"2025-03-06T18:36:08","slug":"is-the-following-shape-a-rectangle-how-do-you-know","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/06\/is-the-following-shape-a-rectangle-how-do-you-know\/","title":{"rendered":"Is the following shape a rectangle How do you know"},"content":{"rendered":"\n<p>Is the following shape a rectangle? How do you know?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. There is not enough information to determine.<\/li>\n\n\n\n<li>B. Yes, the adjacent sides are perpendicular, and the opposite sides are parallel.<\/li>\n\n\n\n<li>C. No, the adjacent sides are not perpendicular.<\/li>\n\n\n\n<li>D. No, the opposite sides are not parallel.<\/li>\n<\/ul>\n\n\n\n<p><img decoding=\"async\" src=\"https:\/\/files.transtutors.com\/cdn\/qimg\/a0bb1dba-f9c7-4f1a-ae13-2490eaffb440.png\"><\/p>\n\n\n\n<p>Question 9 of 10<\/p>\n\n\n\n<p>Is the following shape a rectangle? How do you know?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. There is not enough information to determine.<\/li>\n\n\n\n<li>B. Yes, the adjacent sides are perpendicular, and the opposite sides are parallel.<\/li>\n\n\n\n<li>C. No, the adjacent sides are not perpendicular.<\/li>\n\n\n\n<li>D. No, the opposite sides are not parallel.<\/li>\n<\/ul>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is:<\/p>\n\n\n\n<p><strong>B. Yes, the adjacent sides are perpendicular, and the opposite sides are parallel.<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>A rectangle is a quadrilateral with four right angles (90 degrees). To determine whether the given shape is a rectangle, we need to check two key properties:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Adjacent Sides are Perpendicular:<\/strong>\n<ul class=\"wp-block-list\">\n<li>In a rectangle, adjacent sides meet at right angles.<\/li>\n\n\n\n<li>If two lines are perpendicular, their slopes are negative reciprocals of each other (i.e., if one line has a slope of &#8220;m,&#8221; the perpendicular line has a slope of &#8220;-1\/m&#8221;).<\/li>\n\n\n\n<li>If the given shape&#8217;s adjacent sides form 90-degree angles, then it satisfies this condition.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Opposite Sides are Parallel:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Opposite sides in a rectangle must be equal in length and have the same slope, meaning they run parallel to each other.<\/li>\n\n\n\n<li>Parallel lines have the same slope.<\/li>\n\n\n\n<li>If we can confirm that the opposite sides of the shape are parallel, it further verifies that the shape is a rectangle.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>If both of these conditions hold true, then the shape is a rectangle. Otherwise, we would have to consider other options like a parallelogram, rhombus, or trapezoid.<\/p>\n\n\n\n<p>Since the problem states that the adjacent sides are perpendicular and opposite sides are parallel, the shape meets all the criteria of a rectangle. Thus, the answer is <strong>B<\/strong>.<\/p>\n\n\n\n<p>Now, I will generate an image of a rectangle to visually support this explanation.<\/p>\n\n\n\n<p>Here is the generated image of a rectangle. It visually represents a rectangle with labeled right angles, parallel opposite sides, and perpendicular adjacent sides. Let me know if you need any modifications or further clarifications!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/03\/image-408.png\" alt=\"\" class=\"wp-image-197193\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Is the following shape a rectangle? How do you know? Question 9 of 10 Is the following shape a rectangle? How do you know? The correct answer and explanation is: The correct answer is: B. Yes, the adjacent sides are perpendicular, and the opposite sides are parallel. Explanation: A rectangle is a quadrilateral with four [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-197192","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/197192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=197192"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/197192\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=197192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=197192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=197192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}