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What is a reflection rule that maps each triangle and its image? D(3, 6), E(-4, -3), F(6 1) and D'(1, 6), E '(8, –3), F'(²2, 1)

What is a reflection rule that maps each triangle and its image? D(3, 6), E(-4, -3), F(6 1) and D'(1, 6), E '(8, –3), F'(²2, 1)

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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What is a reflection rule that maps each triangle and its image? Points for triangle D, E, F: - D(3, 6) - E(–4, –3) - F(6, 1) Points for triangle D', E', F': - D'(1, 6) - E'(8, –3) - F'(–2, 1) To determine the reflection rule, compare each pair of points: - For D and D', both points have the same y-coordinate (6), suggesting a vertical reflection. - For E and E', both points have the same y-coordinate (–3). - For F and F', both points have the same y-coordinate (1). Thus, the reflection is likely over a vertical line, such as the y-axis. This would involve reflecting across the vertical line where the x-coordinate changes sign.
Transcribed Image Text:What is a reflection rule that maps each triangle and its image? Points for triangle D, E, F: - D(3, 6) - E(–4, –3) - F(6, 1) Points for triangle D', E', F': - D'(1, 6) - E'(8, –3) - F'(–2, 1) To determine the reflection rule, compare each pair of points: - For D and D', both points have the same y-coordinate (6), suggesting a vertical reflection. - For E and E', both points have the same y-coordinate (–3). - For F and F', both points have the same y-coordinate (1). Thus, the reflection is likely over a vertical line, such as the y-axis. This would involve reflecting across the vertical line where the x-coordinate changes sign.
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