10
QuizMultiple Choice

Rotations

Question 10 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has verticesX'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?

Answer
A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°

Explanation

A 90° counterclockwise rotation about the origin uses the rule (x, y) → (−y, x). It maps X(1, 3) to (−3, 1) and Z(−1, 2) to (−2, −1), while leaving Y(0, 0) fixed. Therefore, the transformation is R₀, 90°.

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