Question

Point A is the pre-image of a vertex of a square and is located at (–10, 8). The square is dilated with the center of dilation at the origin. Point A’ is the image and is located at (–7.5, 6). What is the scale factor of the dilation?
-1.25
1.33
0.75
-2.5

Answer 1

Scale factor k satisfies k * (-10) = -7.5, so k = (-7.5)/(-10) = 0.75. Thus the scale factor is 0.75.