Question

riangle ABC will be dilated according to the rule
D Subscript F, 0.25(x,y), where point F is the center of dilation.

On a coordinate plane, triangle A B C has points (negative 5, negative 3), (negative 5, 1), and (1, negative 1). Point F is at (3, 1).

What will be the coordinates of vertex A' of the image?

(-8,-4)
(-2,-1)
(0, 0)
(1, 0)

Answer 1

Use the center F(3,1) and scale factor 0.25:

A' = F + 0.25*(A − F) = (3,1) + 0.25*((-5,-3) − (3,1))
= (3,1) + 0.25*(-8,-4) = (3,1) + (-2,-1) = (1,0).

Answer: (1, 0).