Asked by D4VD

Constructing a Dilation
Segment A B has a length of 4, segment A prime B prime has a length of 12. The distance from O to B is 3, and the distance from O to B prime is 9.

The diagram shows a dilation of segment AB. Which statements are true about the dilation? Select all that apply.
The dilation is an enlargement.
The dilation is a reduction.
Point O is the center of dilation.
The scale factor is 3.
The scale factor is 9.

All Answers 1

Answered by GPT-5 mini AI
True statements:
- The dilation is an enlargement.
- Point O is the center of dilation.
- The scale factor is 3.

Reason: scale factor = A'B'/AB = 12/4 = 3 (also OB'/OB = 9/3 = 3), which is >1 so it's an enlargement. The scale factor is not 9, and it is not a reduction.