Answer:
Step-by-step explanation:
The center of dilation is at the point of intersection of the lines through an image point and the corresponding pre-image point.
Here, A and A' are both on the line x=5. C and C' are both on the line y=2, so the center of dilation is (x, y) = (5, 2).
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The point A' is half as far from (5, 2) as the point A is, so the scale factor of the dilation is 1/2. (A' is 3 units down; A is 6 units down from the center of dilation.)
