Answer:
D'(-2, 2); C''(3, -1); A'''(4, -2); and B''(4, 2)
Step-by-step explanation:
For D', we rotate the point (2, 2) 90° counterclockwise. This maps every point (x, y)→(-y, x); it takes (2, 2)→(-2, 2).
For C'', we rotate the point (1, 3) 90° clockwise. This maps every point (x, y)→(y, -x); it takes (1, 3)→(3, -1).
For A''', we rotate the point (-4, 2) 180° clockwise. This maps every point (x, y)→(-x, -y); it takes (-4, 2)→(4, -2).
For B'', we rotate the point (-2, 4) 270° counterclockwise. This is the same as rotating the point 90° clockwise. This maps every point (x, y)→(y, -x); it takes (-2, 4)→(4, 2).
