Question

AEFI Is dilated by a scale factor of with the center of dilation at point F. Then, it is reflected over line a to create AHFG. Based on these transformations, which statement is true?

Answer 1

Answer:

C

Step-by-step explanation:

It's stated that EFI is dilated by a scale factor of 1/3.

Dilating gives the following

FH = 1/3×FE

FG = 1/3×FI

HG = 1/3×EI

Sense ΔEFI is reflected over a line FG/FH = (1/3×FI)/(1/3×FE) = FI/FE

Notice that the following shows triangle similarity, meaning ΔEFI ~ ΔHFG.

The only answer choice that shows this would be FE/3 = FH, FI/3 = FH, and

EI/3 =HG ΔEFI ~ ΔHFG.