Answer:
Look at the longest side of the original figure and then look at the longest side of the new figure.
Explanation:
Say the dilation was by 1/2, if the longest side on the original figure is 6, the longest side on the new figure should be 3. Or if the dilation was 4, if the longest side of the original figure is 3, the longest side of the new figure should be 12. After doing that, check all of the other sides with the dilation in mind and check if it adds up.