Question

are these shapes congruent?
yes
no

Explanation:

Step1: Define congruent shapes

Congruent shapes have identical side lengths and angle measures, meaning one can be mapped exactly onto the other via rigid transformations.

Step2: Compare triangle side lengths

Triangle FHG has all sides = 34 mi. Triangle ONM has sides 32 mi, 34 mi, 34 mi.

Step3: Compare triangle angle measures

Triangle FHG has all angles = 60°. Triangle ONM has angles 62°, 62°, 56°.

Answer:

no