0. A' (7, -2)
,
1. ,B' (-7, 7)
,
2. C' (-7, -1)
,
3. D' (1, -2)
,
4. A' (-2, -7)
1) Let's find out the location of Image of A, A' since there was a Rotation 90º CW
Pre-image Rule Image
A (2,7) (x,y) -> (y,-x) A' (7, -2)
2) For B' let's find out the image a Rotation of 270º CW
Pre-image Rule Image
B(7,7) (x,y) --> (-y, x) B' (-7, 7)
3) C' considering C is rotated 180º CW
Pre-image Rule Image
C(7,1) (x,y) --> (-x, -y) C' (-7, -1)
4) D' considering a Rotation 90º CW
Pre-image Rule Image
D(2,1) (x,y) --> (y, -x) D' (1, -2)
5) A' considering A has been rotated 180º CCW
Pre-image Rule Image
A (2,7) (x,y) -> (-x,-y) A' (-2, -7)
Hence, the answers from 1 to 5 are:
0. A' (7, -2)
,
1. ,B' (-7, 7)
,
2. C' (-7, -1)
,
3. D' (1, -2)
,
4. A' (-2, -7)