Question

rstuv ~ jihgf. find fg.
fg = \square

Explanation:

Step1: Identify similarity ratio

$\text{Ratio} = \frac{ST}{IJ} = \frac{9}{1} = 9$

Step2: Match corresponding sides

Side $UV$ corresponds to side $FG$

Step3: Calculate length of FG

$FG = \frac{UV}{\text{Ratio}} = \frac{18}{1} = 18$
(Note: The ratio of the larger pentagon to the smaller is 9, so the side of the larger pentagon UV = 18 corresponds to FG, which matches the proportional scaling)

Answer:

18