4
QuizMultiple Choice

Construct Regular Polygons (Sec 7-6) — Unit test

Question 4 • A4158 Integrated Math 1b

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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