{"id":226789,"date":"2025-06-05T15:09:55","date_gmt":"2025-06-05T15:09:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226789"},"modified":"2025-06-05T15:10:06","modified_gmt":"2025-06-05T15:10:06","slug":"translate-shapes-draw-the-image-of-quadrilateral","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/05\/translate-shapes-draw-the-image-of-quadrilateral\/","title":{"rendered":"Translate shapes Draw the image of quadrilateral"},"content":{"rendered":"\n

Translate shapes Draw the image of quadrilateral
under the translation
. 4 of<\/p>\n\n\n\n

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

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

\u2705 Correct Answer (Translated Coordinates):<\/strong><\/h3>\n\n\n\n

You’re asked to translate quadrilateral ABCD<\/strong> under the rule: (x,y)\u2192(x+4,y\u22123)(x, y) \\rightarrow (x + 4, y – 3)<\/p>\n\n\n\n

Let\u2019s determine the coordinates of the original quadrilateral:<\/p>\n\n\n\n

    \n
  • A<\/strong> (0, 0)<\/li>\n\n\n\n
  • B<\/strong> (1, -4)<\/li>\n\n\n\n
  • C<\/strong> (-6, -2)<\/li>\n\n\n\n
  • D<\/strong> (-3, 1)<\/li>\n<\/ul>\n\n\n\n

    Now, apply the translation rule to each point:<\/p>\n\n\n\n

      \n
    • A\u2032<\/strong> = (0 + 4, 0 \u2212 3) = (4, -3)<\/strong><\/li>\n\n\n\n
    • B\u2032<\/strong> = (1 + 4, -4 \u2212 3) = (5, -7)<\/strong><\/li>\n\n\n\n
    • C\u2032<\/strong> = (-6 + 4, -2 \u2212 3) = (-2, -5)<\/strong><\/li>\n\n\n\n
    • D\u2032<\/strong> = (-3 + 4, 1 \u2212 3) = (1, -2)<\/strong><\/li>\n<\/ul>\n\n\n\n
      \n\n\n\n

      \ud83d\udcdd 300-Word Explanation:<\/strong><\/h3>\n\n\n\n

      A translation<\/strong> is a type of geometric transformation that moves every point of a figure the same distance in a specified direction. In this problem, we apply the translation rule (x,y)\u2192(x+4,y\u22123)(x, y) \\rightarrow (x + 4, y – 3), which means moving the shape 4 units right<\/strong> and 3 units down<\/strong> on the coordinate plane.<\/p>\n\n\n\n

      To translate a shape, we apply the rule to each of its vertices. For instance, the original point A is at (0, 0). When we add 4 to the x-coordinate and subtract 3 from the y-coordinate, we get A\u2032 at (4, -3). We do the same for all other points: B, C, and D. This ensures that the entire shape moves uniformly without changing its size, shape, or orientation.<\/p>\n\n\n\n

      After applying the rule, we get a new quadrilateral A\u2032B\u2032C\u2032D\u2032. The shape remains congruent to the original because a translation is a rigid motion<\/strong>, which preserves distances and angles. Essentially, the figure is “slid” from one place to another without any rotation or flipping.<\/p>\n\n\n\n

      Translations are widely used in computer graphics, animation, robotics, and real-life navigation systems, where maintaining the structure of an object while repositioning it is essential.<\/p>\n\n\n\n

      In conclusion, translating shapes on a coordinate plane is a simple yet powerful concept in geometry. It reinforces the idea of spatial awareness, symmetry, and congruence, all while helping develop a deeper understanding of how figures behave under transformation.<\/p>\n\n\n\n

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

      Translate shapes Draw the image of quadrilateralunder the translation. 4 of The Correct Answer and Explanation is: \u2705 Correct Answer (Translated Coordinates): You’re asked to translate quadrilateral ABCD under the rule: (x,y)\u2192(x+4,y\u22123)(x, y) \\rightarrow (x + 4, y – 3) Let\u2019s determine the coordinates of the original quadrilateral: Now, apply the translation rule to each […]<\/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-226789","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226789","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=226789"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226789\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226789"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226789"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226789"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}