Question

The image of a triangle after it has been dilated with a center of dilation at the origin has vertices at A prime(12, –6), B prime(–24, –12), and C prime. If the pre-image of B prime, point B, has coordinates of (–18, –9) and the pre-image of C prime, point C, has coordinates of (–13.5, 18), which statements are true? Select 3 options.
The coordinates of C prime are (27, 18).
The coordinates of C prime are (–18, 24).
The scale factor is 1 and one-third.
The scale factor is 1 and one-fifth.
The scale factor is Three-fourths.
The coordinates of A are (16, –8).
The coordinates of A are (9, –4.5).

Answer 1

Correct answers (three):

- The coordinates of C prime are (–18, 24).
- The scale factor is 1 and one-third.
- The coordinates of A are (9, –4.5).

Work: k = (-24)/(-18) = 4/3. C' = (-13.5,18)·(4/3) = (-18,24). A = (12,-6)·(3/4) = (9,-4.5).