If the point (x, y) rotated 90 degrees counter-clockwise, then its image is (-y, x)
If the point (x, y) rotated 180 degrees clockwise or counter-clockwise, then its image is (-x, -y)
It the point (x, ) rotated 90 degrees clockwise or 270 degrees counterclockwise, then its image is (y, -x)
Since point D (2, 2) is roteated 90 degrees counterclockwice, then
D' = (-2, 2)
Since point C (1, 3) is rotated 90 degrees clockwise, then
C'' = (3, -1)
Since point A (-4, 2) is rotated 180 degrees clockwise, then
A''' = 4, -2)
Since the point B (-2, 4) is rotated 270 degrees counterclockwise, then
B'''' = (4, 2)
The coordinates of point D' if polygon ABCD is rotated 90 counterclockwise is (-2, 2)
The coordinates of point C'' if polygon ABCD is rotated 90 degrees clockwise is (3, -1)
The coordinates of point A''' if polygon ABCD is rotated 180 degrees clockwise is (4, -2)
The coordinates of point B'''' if polygon ABCD is rotated 270 degrees counterclockwise is (4, 2)