Question

these figures are congruent. what is op?
□ inches

Explanation:

Step1: Match congruent polygon parts

Identify corresponding sides using congruent angles: $\angle G = \angle R = 110^\circ$, $\angle H = \angle Q = 110^\circ$, side $GH = QR = 9$ in, side $HI = RO = 44$ in. So side $OP$ corresponds to $FI$.

Step2: Get length of corresponding side

The length of $FI$ is 39 in, so $OP = FI$.

Answer:

39 inches