7
AssignmentMultiple Choice

Rotations

Question 7 • High School Math 2 A

After a rotation, A(–3, 4) maps to A'(4, 3), B(4, –5) maps to B'(–5, –4), and C(1, 6) maps to C'(6, –1). Which rule describes the rotation?

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

Explanation

A rotation of 270° counterclockwise about the origin follows the rule (x, y) → (y, −x). For example, A(−3, 4) becomes (4, 3), matching A′; the same rule maps B and C to their stated images. Therefore, the rotation is R₀, 270°.

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