The correct description of the dilation is
D) center F and scale factor 1/3
How to find the description
The scale factor is a ratio used to compare corresponding lengths between two similar figures.
In the given example, the scale factor is determined by comparing the lengths of corresponding sides.
F'E' is 7 units and FE is (14 + 7) units = 21 units
scale factor = 7 / 21 = 1/3 units
Since point F' = F. this is the center of dilation
complete question
D’ E’ F’ G’ is a dilation image of DEFG. Which is the correct description of the dilation?
A) canter F and scale factor 3
B) center D and scale factor 2
C) center D and scale factor 1/2
D) center F and scale factor 1/3