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What are the coordinates of each image? Rx-axis(-5# 3) Rx-axis(1, 6)

What are the coordinates of each image? Rx-axis(-5# 3) Rx-axis(1, 6)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Question:** What are the coordinates of each image? **Text:** 1. \( R_{x\text{-axis}}(-5, 3) \) 2. \( R_{x\text{-axis}}(1, 6) \) **Explanation:** The given expressions represent points that have been reflected over the x-axis. In a reflection over the x-axis, the x-coordinate remains the same, but the y-coordinate is inverted (multiplied by -1). Therefore: - The point \((-5, 3)\) would become \((-5, -3)\) after reflection. - The point \((1, 6)\) would become \((1, -6)\) after reflection. These transformations allow the visualization of how coordinates change with respect to reflections across the x-axis in a Cartesian plane.
Transcribed Image Text:**Question:** What are the coordinates of each image? **Text:** 1. \( R_{x\text{-axis}}(-5, 3) \) 2. \( R_{x\text{-axis}}(1, 6) \) **Explanation:** The given expressions represent points that have been reflected over the x-axis. In a reflection over the x-axis, the x-coordinate remains the same, but the y-coordinate is inverted (multiplied by -1). Therefore: - The point \((-5, 3)\) would become \((-5, -3)\) after reflection. - The point \((1, 6)\) would become \((1, -6)\) after reflection. These transformations allow the visualization of how coordinates change with respect to reflections across the x-axis in a Cartesian plane.
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