Question

what are the corresponding parts of the figures below? select all that apply.

e 110° 17 ft 97° 115° f 14 ft g 36 ft 38° 37 ft h
o 115° 37 ft 38° 36 ft l 14 ft 97° 17 ft 110° m n
\overline{gh}\cong\overline{no} \angle h\cong\angle o \angle f\cong\angle m \angle f\cong\angle n

Explanation:

Step1: Match side - lengths

$GH = 36$ ft, $NO=36$ ft, so $\overline{GH}\cong\overline{NO}$.

Step2: Match angles

$\angle H = 38^{\circ}$, $\angle L=38^{\circ}$, not $\angle O$. $\angle F = 97^{\circ}$, $\angle N = 97^{\circ}$, so $\angle F\cong\angle N$.

Answer:

$\overline{GH}\cong\overline{NO}$, $\angle F\cong\angle N$