20
QuizMultiple Choice

Unit Test — Unit test

Question 20 • ! MCHS (CR25) - GEOMETRY

A rectangle is transformed according to the rule R0, 90º. The image of the rectangle has vertices located at R'(–4, 4), S'(–4, 1), P'(–3, 1), and Q'(–3, 4). What is the location of Q?

Answer
A
(–4, –3)
B
(–3, –4)
C
(3, 4)
D
(4, 3)

Explanation

A 90° rotation about the origin maps an original point (x, y) to (−y, x). Since Q' is (−3, 4), reverse the rotation to find Q: (x, y) = (y', −x') = (4, 3). Thus Q is (4, 3), choice D.

AI-written and checked against the verified answer.

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