Question

A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Select 3 options.
The coordinates of C prime are (0.75, 0.5).
The coordinates of C prime are (1.5, 1).
The scale factor is One-eighth.
The scale factor is 8.
The scale factor is One-fourth.
The scale factor is 4.
The coordinates of B prime are (–0.25, 1).
The coordinates of B prime are (–0.5, 2).

Answer 1

Correct choices (3):

- The coordinates of C prime are (0.75, 0.5).
- The scale factor is One-eighth.
- The coordinates of B prime are (–0.25, 1).

Reason: k = (–0.25)/(–2) = 0.5/4 = 1/8. So C' = (6/8, 4/8) = (0.75, 0.5) and B' = (–2/8, 8/8) = (–0.25, 1).