{"id":226973,"date":"2025-06-05T17:42:42","date_gmt":"2025-06-05T17:42:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226973"},"modified":"2025-06-05T17:42:44","modified_gmt":"2025-06-05T17:42:44","slug":"use-the-diagram-to-the-right-to-answer-1-4-1","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/05\/use-the-diagram-to-the-right-to-answer-1-4-1\/","title":{"rendered":"Use the diagram to the right to answer 1-4. 1."},"content":{"rendered":"\n

Use the diagram to the right to answer 1-4. 1. Name two points collinear to point D. 2. Give another name for line p. 3. Name the intersection of line r and plane K. 4. Name a point non-coplanar to plane K 4 5′<\/p>\n\n\n\n

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

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

1. Name two points collinear to point D.<\/strong><\/h3>\n\n\n\n

Answer:<\/strong> Points E<\/strong> and Q<\/strong> are collinear with point D<\/strong>.<\/p>\n\n\n\n

Explanation:<\/strong>
Points are collinear if they lie on the same straight line. In the diagram, points D<\/strong>, E<\/strong>, and Q<\/strong> lie along the same line (line q<\/strong>). Since these three points form a straight line segment in the plane, they are collinear. Point E<\/strong> is between D and Q, showing linear alignment.<\/p>\n\n\n\n

\n\n\n\n

2. Give another name for line p.<\/strong><\/h3>\n\n\n\n

Answer:<\/strong> Line AB<\/strong> is another name for line p<\/strong>.<\/p>\n\n\n\n

Explanation:<\/strong>
Line p<\/strong> passes through points A<\/strong> and B<\/strong>, as seen in the diagram. Lines can be named using any two distinct points that lie on them. Therefore, line AB<\/strong> is a valid alternate name for line p<\/strong>. This follows the naming convention in geometry where lines are denoted either by lowercase letters or two points lying on the line.<\/p>\n\n\n\n

\n\n\n\n

3. Name the intersection of line r and plane K.<\/strong><\/h3>\n\n\n\n

Answer:<\/strong> Point X<\/strong> is the intersection of line r<\/strong> and plane K<\/strong>.<\/p>\n\n\n\n

Explanation:<\/strong>
In the diagram, line r<\/strong> is a vertical line that intersects the parallelogram-shaped plane K<\/strong>. The point at which line r<\/strong> crosses the plane is marked as point X<\/strong>. This is the definition of the intersection between a line and a plane \u2014 the point where they meet.<\/p>\n\n\n\n

\n\n\n\n

4. Name a point non-coplanar to plane K.<\/strong><\/h3>\n\n\n\n

Answer:<\/strong> Point W<\/strong> is non-coplanar to plane K<\/strong>.<\/p>\n\n\n\n

Explanation:<\/strong>
A point is non-coplanar<\/strong> if it does not lie on the same plane. Plane K<\/strong> includes all the points forming the parallelogram (like A, B, D, E, F, etc.). Point W<\/strong>, however, lies above<\/strong> the plane (as line r<\/strong> is perpendicular or slanted relative to the plane), making it non-coplanar<\/strong>. Points on a line intersecting a plane but not lying in it (like W<\/strong>) are outside that plane.<\/p>\n\n\n\n

\n\n\n\n

Summary:<\/strong><\/h3>\n\n\n\n
    \n
  • 1.<\/strong> D, E, Q are collinear.<\/li>\n\n\n\n
  • 2.<\/strong> Line AB = line p.<\/li>\n\n\n\n
  • 3.<\/strong> Line r intersects plane K at point X.<\/li>\n\n\n\n
  • 4.<\/strong> Point W is not on plane K, hence non-coplanar.<\/li>\n<\/ul>\n\n\n\n

    These answers show understanding of geometric concepts like collinearity, line naming, line-plane intersections, and coplanarity.<\/p>\n\n\n\n

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

    Use the diagram to the right to answer 1-4. 1. Name two points collinear to point D. 2. Give another name for line p. 3. Name the intersection of line r and plane K. 4. Name a point non-coplanar to plane K 4 5′ The Correct Answer and Explanation is: 1. Name two points collinear […]<\/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-226973","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226973","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=226973"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226973\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226973"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226973"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226973"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}