Question

A square on the coordinate plane has vertices at (−2, 2), (2, 2), (2, −2), and (−2, −2). A dilation of the square has vertices at (−4, 4), (4, 4), (4, −4), and (−4, −4). Find the scale factor and the perimeter of each square.

Answer 1

The smaller square has length of 4. So its perimeter is 4*4 = 16
The larger square has length of 8 and its perimeter is 8*4 = 32

The scale factor is 2. Since the larger square is twice the size of the smaller square (Or you can say that the scale factor is 1/2 if you are looking at the perspective of the larger square to the smaller square).