75 POINTS

Triangle XYZ is drawn with vertices at X(−1, −3), Y(−5, −5), Z(−4, −2). After a rotation, image X′Y′Z′ has vertices X′(3, −1), Y′(5, −5), Z′(2, −4).

Part A: Determine the two different rotations that would create the image.

Part B: Explain how you know your answer to Part A is correct.