{"id":230474,"date":"2025-06-09T15:19:32","date_gmt":"2025-06-09T15:19:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230474"},"modified":"2025-06-09T15:19:34","modified_gmt":"2025-06-09T15:19:34","slug":"exercises-11-16-use-the-diagram","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/09\/exercises-11-16-use-the-diagram\/","title":{"rendered":"Exercises 11-16, use the diagram."},"content":{"rendered":"\n

Exercises 11-16, use the diagram. (See Example t B S A E C D What is another name for \\overline{BD}?<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To answer this question, let’s first interpret what it means:<\/p>\n\n\n\n

Question:<\/strong><\/p>\n\n\n\n

\n

Exercises 11\u201316, use the diagram. (See Example)
t B S A E C D
What is another name for<\/em> $\\overline{BD}$?<\/p>\n<\/blockquote>\n\n\n\n

Since you mentioned “t B S A E C D”, we can assume this is a straight line or a figure showing points placed in a certain order. Let’s interpret that as a line with points in this order from left to right:<\/p>\n\n\n\n

t \u2014 B \u2014 S \u2014 A \u2014 E \u2014 C \u2014 D<\/strong><\/p>\n\n\n\n

\u2705 Correct Answer:<\/strong><\/h3>\n\n\n\n

Another name for $\\overline{BD}$ is $\\overline{tD}$<\/strong> or $\\overline{Dt}$<\/strong>, as long as t, B, and D all lie on the same straight line<\/strong> and B is between t and D<\/strong>.<\/p>\n\n\n\n

However, more precisely, a correct and concise<\/strong> alternative name for $\\overline{BD}$ is $\\overline{DB}$<\/strong>, since a line segment can be named by its two endpoints in any order.<\/p>\n\n\n\n

\n\n\n\n

\ud83d\udcd8 Explanation<\/strong><\/h3>\n\n\n\n

In geometry, line segments<\/strong> are portions of a line that have two distinct endpoints<\/strong>. The notation $\\overline{BD}$ refers to the line segment with endpoints B<\/strong> and D<\/strong>. This segment includes all the points between B and D, including B and D themselves.<\/p>\n\n\n\n

A line segment can be named by any two points on it<\/strong>, specifically by its endpoints<\/strong>. Importantly, the order of the letters doesn\u2019t matter for a segment\u2014$\\overline{BD}$ and $\\overline{DB}$ represent the same segment.<\/p>\n\n\n\n

If the diagram shows points arranged on a line such as:
t \u2014 B \u2014 S \u2014 A \u2014 E \u2014 C \u2014 D<\/strong>,
then all these points lie on the same straight line. This means that any pair of points along that path can form a line segment, such as $\\overline{BS}$, $\\overline{AE}$, or $\\overline{BD}$.<\/p>\n\n\n\n

Therefore, since points B<\/strong> and D<\/strong> lie on the same line, and the segment between them is $\\overline{BD}$, any name that uses these two endpoints (in any order) is correct<\/strong>. For example:<\/p>\n\n\n\n

    \n
  • $\\overline{BD}$<\/li>\n\n\n\n
  • $\\overline{DB}$<\/li>\n<\/ul>\n\n\n\n

    If the question is asking for another<\/em> name for $\\overline{BD}$, then the natural and accurate answer is:<\/p>\n\n\n\n

    \n

    $\\overline{DB}$<\/strong><\/p>\n<\/blockquote>\n\n\n\n

    In summary, naming a line segment depends on its endpoints, and since the order of letters doesn’t affect the segment’s identity, $\\overline{DB}$ is another correct name for $\\overline{BD}$.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Exercises 11-16, use the diagram. (See Example t B S A E C D What is another name for \\overline{BD}? The Correct Answer and Explanation is: To answer this question, let’s first interpret what it means: Question: Exercises 11\u201316, use the diagram. (See Example)t B S A E C DWhat is another name for $\\overline{BD}$? […]<\/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-230474","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230474","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=230474"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230474\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230474"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230474"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230474"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}