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?

A dilation centered at the origin multiplies both coordinates by the scale factor. From (−10, 8) to (−7.5, 6), the coordinate ratios are −7.5 ÷ −10 = 0.75 and 6 ÷ 8 = 0.75. Therefore, the scale factor is 0.75, choice C.

AI-written and checked against the verified answer.