Explanation:
Step 1: Calculate the length of each side when the dilation is 1/2
AB = 15
AB' = 15 * 1/2 → AB' = 7.5
BD = 8
BD' = 8 * 1/2 → BD' = 4
Since the sides get smaller, that means that this is a reduction.
Step 2: Calculate the length of each side when the dilation is 3
AB = 15
AB' = 15 * 3 → AB' = 45
BD = 8
BD' = 8 * 3 → BD' = 24
Since the sides get larger, that means that this is a enlargement.