{"id":228929,"date":"2025-06-07T18:27:58","date_gmt":"2025-06-07T18:27:58","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228929"},"modified":"2025-06-07T18:28:00","modified_gmt":"2025-06-07T18:28:00","slug":"reflecting-points-in-the-coordinate-plane-graph-each-point","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/reflecting-points-in-the-coordinate-plane-graph-each-point\/","title":{"rendered":"Reflecting Points in the Coordinate Plane Graph each point."},"content":{"rendered":"\n

Reflecting Points in the Coordinate Plane Graph each point. Then reflect the point in the x-axis. Record the coordinates of the reflection. \u2022 A (1, 3), Reflection: \u2022 B (-2, -2) Reflection: \u2022 C (-4, 5) Reflection: \u2022 D (2, -5) Reflection: Graph each point. Then reflect the point in the y-axis. Record the coordinates of the reflection. (1, 3), Reflection: (-2, -2) Reflection: (-4, 5) Reflection: (2, -5) Reflection:<\/p>\n\n\n\n

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

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

Let’s work through this step-by-step.<\/p>\n\n\n\n

Part 1: Reflection Across the X-Axis<\/strong><\/h3>\n\n\n\n

When a point is reflected across the x-axis<\/strong>, its y-coordinate changes sign<\/strong>, while the x-coordinate remains the same. In formula terms, the reflection of point (x, y)<\/strong> over the x-axis is (x, -y)<\/strong>.<\/p>\n\n\n\n

Reflections:<\/h4>\n\n\n\n
    \n
  • A (1, 3) \u2192 (1, -3<\/strong>)<\/li>\n\n\n\n
  • B (-2, -2) \u2192 (-2, 2<\/strong>)<\/li>\n\n\n\n
  • C (-4, 5) \u2192 (-4, -5<\/strong>)<\/li>\n\n\n\n
  • D (2, -5) \u2192 (2, 5<\/strong>)<\/li>\n<\/ul>\n\n\n\n
    \n\n\n\n

    Part 2: Reflection Across the Y-Axis<\/strong><\/h3>\n\n\n\n

    When a point is reflected across the y-axis<\/strong>, its x-coordinate changes sign<\/strong>, while the y-coordinate remains the same. The formula for this is: reflection of (x, y)<\/strong> over the y-axis is (-x, y)<\/strong>.<\/p>\n\n\n\n

    Reflections:<\/h4>\n\n\n\n
      \n
    • A (1, 3) \u2192 (-1<\/strong>, 3)<\/li>\n\n\n\n
    • B (-2, -2) \u2192 (2<\/strong>, -2)<\/li>\n\n\n\n
    • C (-4, 5) \u2192 (4<\/strong>, 5)<\/li>\n\n\n\n
    • D (2, -5) \u2192 (-2<\/strong>, -5)<\/li>\n<\/ul>\n\n\n\n
      \n\n\n\n

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

      Reflecting points in the coordinate plane is a basic concept in geometry that helps us understand symmetry and spatial transformations. There are two main types of reflections covered in this exercise: reflection across the x-axis and reflection across the y-axis.<\/p>\n\n\n\n

      When reflecting across the x-axis<\/strong>, we are flipping the point over the horizontal axis. This means the vertical distance<\/strong> from the axis remains the same, but the direction changes. Mathematically, this is done by changing the sign of the y-coordinate<\/strong> while keeping the x-coordinate unchanged. For example, point A (1, 3) becomes (1, -3) after an x-axis reflection because it moves from 3 units above the x-axis to 3 units below.<\/p>\n\n\n\n

      On the other hand, reflection across the y-axis<\/strong> flips the point over the vertical axis. This means the horizontal distance<\/strong> remains the same, but again, the direction reverses. So, the x-coordinate changes sign<\/strong>, and the y-coordinate stays the same. For instance, point A (1, 3) reflected over the y-axis becomes (-1, 3).<\/p>\n\n\n\n

      Understanding these transformations helps in graphing, problem-solving, and visualizing objects in mathematics. It\u2019s also a stepping stone for more complex topics like rotations, translations, and dilations in coordinate geometry. Reflecting points teaches symmetry, an essential concept in both mathematics and real-world applications such as engineering and design.<\/p>\n\n\n\n

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

      Reflecting Points in the Coordinate Plane Graph each point. Then reflect the point in the x-axis. Record the coordinates of the reflection. \u2022 A (1, 3), Reflection: \u2022 B (-2, -2) Reflection: \u2022 C (-4, 5) Reflection: \u2022 D (2, -5) Reflection: Graph each point. Then reflect the point in the y-axis. Record the coordinates […]<\/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-228929","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228929","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=228929"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228929\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228929"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228929"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228929"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}