Triangle XYZ has vertices at X(−5, −5), Y(2, 2), Z(2, −4).

Part A: If triangle XYZ is rotated 90° counterclockwise about the origin, determine the coordinates of the vertices for the image, triangle X′Y′Z′. Show each step of your work. (4 points)

Part B: If triangle XYZ is rotated 270° clockwise about the origin, determine the coordinates of the vertices for the image, triangle X′Y′Z′. Show each step of your work. (4 points)

Part C: Describe the similarities and differences between the two rotations in parts A and B. (4 points)