D’E’F’G’ is a dilation image of DEFG. Which is the correct of the dilation center D and scale factor 2 A) center D and scale factor 2 B) Center D and scale factor 1/2 C) Center F and scale factor 1/3 D) center F and scale factor 3

Answer:
C) Center F and scale factor 1/3
Step-by-step explanation:
Point F remained as point F', so the center of the dilation is point F.
Segment FE has length 7 + 14 = 21.
Segment F'E' has length 7.
The scale factor from the preimage to the image is 7/21 = 1/3.
Answer: C) Center F and scale factor 1/3