{"id":29554,"date":"2025-06-21T12:55:32","date_gmt":"2025-06-21T12:55:32","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=29554"},"modified":"2025-06-21T12:55:36","modified_gmt":"2025-06-21T12:55:36","slug":"if-two-distinct-planes-intersect-then-their-intersection-is-a-line","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/if-two-distinct-planes-intersect-then-their-intersection-is-a-line\/","title":{"rendered":"If two distinct planes intersect, then their intersection is a line."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">If two distinct planes intersect, then their intersection is a line. Which of the figures best describes the statement above?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The correct answer is <strong>option d<\/strong>, which shows <em>two distinct planes intersecting along a line<\/em>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In geometry, a <strong>plane<\/strong> is a flat surface that extends indefinitely in all directions. It is two-dimensional, meaning it has length and width but no thickness. When two planes are distinct and they intersect, they do so in exactly <strong>one line<\/strong>. This is a fundamental property of Euclidean space.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The reasoning behind this lies in how planes are defined. A single plane is determined by at least three non-collinear points. When a second plane intersects it, the only way for both sets of points and directions to meet, without fully overlapping, is along a shared set of points that form a line. That line represents every point that satisfies the equations of both planes at once.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s examine why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option a<\/strong>, a triangle, does not convey any spatial relationship between planes.<\/li>\n\n\n\n<li><strong>Option b<\/strong>, a parallelogram with arrows, represents a flat surface but tells us nothing about an intersection between two planes.<\/li>\n\n\n\n<li><strong>Option c<\/strong>, two intersecting lines, represents the intersection of two lines\u2014not planes. Though lines may meet at a point, this does not help illustrate the intersection of surfaces.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Only <strong>option d<\/strong> provides a visual of two flat surfaces crossing each other and sharing a single straight edge. This edge is their <strong>line of intersection<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This principle is not just theoretical. It appears in real-world structures. For example, where two walls meet at a corner in a building, the edge where they join is a physical representation of this geometric concept.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, option d is the best visual description of two intersecting planes with their common line.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"722\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-165.jpeg\" alt=\"\" class=\"wp-image-29905\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-165.jpeg 722w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-165-212x300.jpeg 212w\" sizes=\"auto, (max-width: 722px) 100vw, 722px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>If two distinct planes intersect, then their intersection is a line. Which of the figures best describes the statement above? The Correct Answer and Explanation is: The correct answer is option d, which shows two distinct planes intersecting along a line. In geometry, a plane is a flat surface that extends indefinitely in all directions. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-29554","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29554","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=29554"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29554\/revisions"}],"predecessor-version":[{"id":29906,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29554\/revisions\/29906"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=29554"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=29554"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=29554"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}