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′(7.5, 4.5) , b′(4.5, 10.5) , and c′(1.5, 6) . the center of dilation is the origin. what is the scale factor of the dilation?

Hello,

To find the scale factor, we have to look at what's going on in the problem. 

In point A, we are converting from (5, 3) to (7.5, 4.5).

We can write and solve equation to find the change (scale factor)

5x = 7.5  and 3x = 4.5

If you solve either equation, you will find the scale factor is 1.5.

Good luck,
MrEQ