2
QuizMultiple Choice

Dilations — Unit test

Question 2 • SRC 2022 M/J Grade 8 Pre-Algebra Q1

Figure FGH has vertices located at F(1, 3), G(–1, 2), and H(2, 1). The figure is rotated using the origin as the center of rotation. The image has vertices located at F’(3, –1), G’(2, 1), and H’(1, –2). Which rotation could have taken place?

Answer
A
a 45° clockwise rotation
B
a 90° clockwise rotation
C
a 90° counterclockwise rotation
D
a 180° counterclockwise rotation

Explanation

A 90° clockwise rotation about the origin changes each point (x, y) to (y, −x). For example, F(1, 3) becomes F′(3, −1), matching the image. The same rule sends G(−1, 2) to (2, 1) and H(2, 1) to (1, −2), so the rotation is a 90° clockwise rotation.

AI-written and checked against the verified answer.

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