Question

riangle ABC was dilated and translated to form similar triangle A'B'C'.

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (0, 2), (2, 2), and (2, 0). Triangle A prime B prime C prime has points (negative 4, negative 1), (1, negative 1), and (1, negative 6).

What is the scale factor of the dilation?

One-fifth
Two-fifths
Five-halves
5

Answer 1

Compute a corresponding side length ratio. AB = distance between (0,2) and (2,2) = 2.
A'B' = distance between (−4,−1) and (1,−1) = 5.
Scale factor = A'B' / AB = 5 / 2.

Answer: Five-halves.