2
lesson pretestMultiple Choice

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Question 2 • Geometry: Concepts and Connections

Figure WXYZ is transformed using the rule ry-axis∘T−4, 2⁡(x, y). Point W of the pre-image is at (1, 6). What are the coordinates of point cap w double prime on the final image?

Answer
A
open paren 5 comma negative 8 close paren
B
open paren 3 comma 8 close paren
C
open paren negative 3 comma negative 8 close paren
D
open paren negative 5 comma 8 close paren

Explanation

Apply the transformations from right to left. First translate W(1, 6) by (−4, 2), giving (1 − 4, 6 + 2) = (−3, 8). Then reflect across the y-axis, which changes the x-coordinate’s sign, so W″ is (3, 8), choice B.

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