How do you solve a problem like this?

Polygon ABCD is dilated, rotated, and translated to form polygon A′B′C′D′. The endpoints of AB¯¯¯¯¯ are at (0, -7) and (8, 8), and the endpoints of A'B'¯¯¯¯¯¯¯ are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?

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Question

How do you solve a problem like this?

Polygon ABCD is dilated, rotated, and translated to form polygon A′B′C′D′. The endpoints of AB¯¯¯¯¯ are at (0, -7) and (8, 8), and the endpoints of A'B'¯¯¯¯¯¯¯ are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?

(There are no answer choices)

anonymous · Answer

Use the distance formula to find the distance between A and B.
Use the distance formula to find the distance between A' and B'

$$scale~factor=\frac{ d _{A'B'} }{ d _{AB} }$$