Question

Which statements about the dilation are true? Check all that apply.
Triangle X prime Y prime Z prime. Point X prime is 2 units from the center of dilation C and point Z prime is 3 units from the center of dilation. Triangle X Y Z. Point X is 5 units from point C and point Z is 7.5 units from point C.
The center of dilation is point C.
It is a reduction.
It is an enlargement.
The scale factor is 2.5.
The scale factor is Two-fifths.

Answer 1

True:
- The center of dilation is point C. (Given.)
- It is a reduction. (Image distances are smaller than preimage so k < 1.)
- The scale factor is Two-fifths. (k = image/preimage = 2/5 = 0.4; also 3/7.5 = 0.4.)

False:
- It is an enlargement.
- The scale factor is 2.5.