Triangle abc has vertices a(5, 3) , b(3, 7) , and c(1, 4) . triangle abc is dilated, and the vertices of the image are a′(1.25, 0.75) , b′(0.75, 1.75) , and c′(0.25, 1) . the center of dilation is the origin. what is the scale factor of the dilation? a.) 0.25 b.) 0.5 c.) 2 d.) 4

Hello,

To find the scale factor, we need to determine how the points are changing.

Point A is changing from (5, 3) to (1.25, 0.75). Therefore, we can write the following two equations using K as the scale factor.

5k = 1.25  or 3K = 0.75

Solving either equation will give you a scale factor of 0.25.

Good luck,
MrEQ