{"id":188964,"date":"2025-02-08T09:25:49","date_gmt":"2025-02-08T09:25:49","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=188964"},"modified":"2025-02-08T09:25:51","modified_gmt":"2025-02-08T09:25:51","slug":"what-is-the-midpoint-of-the-segment-shown-below","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/08\/what-is-the-midpoint-of-the-segment-shown-below\/","title":{"rendered":"What is the midpoint of the segment shown below"},"content":{"rendered":"\n<p>Midpoint Formula Question 5 of 10 2 Points What is the midpoint of the segment shown below? O A. (6,3) O B. (51,3) O c. (62.3) O ) 10 (2, 3) (10, 3) 10 10 D. (5, 3 10 SUBA<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To find the midpoint of a segment, we use the <strong>midpoint formula<\/strong>. The midpoint formula is:<\/p>\n\n\n\n<p>[<br>\\text{Midpoint} = \\left( \\frac{x_1 + x_2}{2}, \\frac{y_1 + y_2}{2} \\right)<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( (x_1, y_1) ) are the coordinates of the first endpoint,<\/li>\n\n\n\n<li>( (x_2, y_2) ) are the coordinates of the second endpoint.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-step Explanation:<\/h3>\n\n\n\n<p>From the options provided, it seems there is a pair of coordinates for the endpoints, but they are a bit unclear. Let&#8217;s assume the segment has the endpoints ( (10, 3) ) and ( (0, 3) ). This assumption is based on the &#8220;10&#8221; and &#8220;3&#8221; appearing multiple times in the question. Let\u2019s proceed with these points:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The coordinates of the two endpoints are ( (10, 3) ) and ( (0, 3) ).<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First endpoint ( (x_1, y_1) = (10, 3) )<\/li>\n\n\n\n<li>Second endpoint ( (x_2, y_2) = (0, 3) )<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Apply the midpoint formula:<br>[<br>\\text{Midpoint} = \\left( \\frac{10 + 0}{2}, \\frac{3 + 3}{2} \\right)<br>]<br>[<br>\\text{Midpoint} = \\left( \\frac{10}{2}, \\frac{6}{2} \\right)<br>]<br>[<br>\\text{Midpoint} = (5, 3)<br>]<\/li>\n<\/ol>\n\n\n\n<p>Therefore, the correct midpoint of the segment is ( (5, 3) ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The correct answer is <strong>D. (5, 3)<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The midpoint formula is a fundamental concept in geometry used to find the point exactly halfway between two points in a coordinate plane. It is important to remember that this formula works for both the x and y coordinates separately. By averaging the x-coordinates and y-coordinates of the endpoints, you can determine the midpoint, which divides the line segment into two equal parts. In this case, using the points ( (10, 3) ) and ( (0, 3) ), we found that the midpoint lies at ( (5, 3) ).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Midpoint Formula Question 5 of 10 2 Points What is the midpoint of the segment shown below? O A. (6,3) O B. (51,3) O c. (62.3) O ) 10 (2, 3) (10, 3) 10 10 D. (5, 3 10 SUBA The Correct Answer and Explanation is : To find the midpoint of a segment, we [&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-188964","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/188964","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=188964"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/188964\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=188964"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=188964"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=188964"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}