Question

Polygon PSRT is drawn with vertices at P(1, 5), S(1, 0), R(−2, −3), T(−4, 2). Determine the image vertices of R′ if the preimage is rotated 270° counterclockwise.

R′(−3, 2)
R′(2, 3)
R′(3, −2)
R′(−2, −3)

Answer 1

(a) R'(-3, 2)

Explanation:

You want the image of point R(-2, -3) after rotation 270° CCW about the origin.

Rotation

The rotation transformation is ...

(x, y) ⇒ (y, -x) . . . . . . . rotation 270° CCW or 90° CW

Applied to the given point, we find ...

R(-2, -3) ⇒ R'(-3, 2) . . . . . . matches choice A

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