The center of dilation is point A (5,3).
B at (35,3) is 30 in x direction away from A. Since dilating 1/6, we make B 30/6=5 in x-direction away from A, so B is (10,3).
C at (65,21) which is 60 in x direction and 18 in y direction from A. Taking 1/6, we get C to be 10 in x direction and 3 in y direction away from A, so C is (15,6)
D at (35,39) is 30 in x direction an 36 in y direction from A. Taking 1/6, we get D to be 5 in x direction and 6 in y direction away from A, so D is (10,9)
E at (5,39) is 36 in y direction from A. Taking 1/6 we get C to be 6 in y direction from A, so E is (5,9).
F at (-25,21) is -30 in x direction and 18 in y direction from A. Taking 1/6 we get F to be -5 in x direction and and 3 in y direction from A, so F is (0,6)