Question

Triangle 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

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

Answer: (1, 0)