Question

Analyzing a Dilation for Accurate Statements
Triangle A B C is reduced to triangle A prime B prime C prime. Triangle A prime B prime C prime is closer to point O.

Which statements are accurate about the dilation? Check all that apply.
The dilation is a reduction.
The scale factor is between 0 and 1.
A is the image of A'
Point O is the center of dilation.
OB = BB'

Answer 1

Correct choices:
- The dilation is a reduction.
- The scale factor is between 0 and 1.
- Point O is the center of dilation.

Why:
- "Reduced to A'B'C'" means the image is smaller, so it's a reduction.
- A reduction has scale factor k with 0 < k < 1.
- The description that A'B'C' is closer to O identifies O as the center of dilation.

The other two are false:
- "A is the image of A'": false — A' is the image of A (A is the preimage).
- "OB = BB'": false — along ray OB, OB' = k·OB, so BB' = OB − OB' = (1−k)·OB, which equals OB only if k = 0 (not a valid dilation).