Question

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

R0, 90°
R0, 180°
R0, 270°
R0, 360°

Answer 1

R0, 90°.

Reason: A 90° rotation about the origin sends (x,y) -> (−y,x).
(1,3) -> (−3,1) and (−1,2) -> (−2,−1), and (0,0) stays (0,0), matching the image.