Which transformation turns the pre-image ABCD into the image A'B'C'D'?O(X, y)(-x, -y)O X, y) (y, -x)О %, у) — (у, х)O X, y) (-y, x)

As the transformation maps ABCD to A'B'C'D', we have (2,4)→(-2,-4) . . . . (1) (2,2)→(-2,-2).…

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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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Which transformation turns the pre-image ABCD into the image A'B'C'D'?
O(X, y)(-x, -y)
O X, y) (y, -x)
О %, у) — (у, х)
O X, y) (-y, x)

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As the transformation maps ABCD to A'B'C'D', we have

$\begin{array}{rcl} (2, 4) & \to & (- 2, - 4) . . . . (1) \\ (2, 2) & \to & (- 2, - 2) . . . . (2) \\ (1, - 1) & \to & (- 1, 1) . . . . (3) \\ (- 1, 3) & \to & (1, - 3) . . . . (4) \end{array}$

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