Answer:
180 degrees rotation about the origin
Explanation:
First, we need to identify the coordinates of DOG and D'O'G' as follows
D(-2, 1) ---> D'(2, -1)
O(-3, 3) ---> O'(3, -3)
G(1, 1) ---> G'(-1, -1)
Therefore, the rule for the transformation is
(x, y) ---> (-x, -y)
This rule is the rule for a 180 degrees rotation about the origin. So, the transformation is a 180 degrees rotation about the origin.