Question

are these shapes congruent?
(image of two pentagons with labeled sides and angles: first pentagon jklm i with sides 24 km and angles 108°, second pentagon uvwst with sides 24 km and angles 108°)
yes no

Explanation:

Step1: Recall congruent polygon definition

Congruent polygons have all corresponding sides equal and all corresponding angles equal.

Step2: Analyze side lengths

First pentagon (JKLIM): each side is 24 km. Second pentagon (VUWST): each side is 24 km. So all corresponding sides are equal.

Step3: Analyze angle measures

First pentagon: each interior angle is \(108^\circ\). Second pentagon: each interior angle is \(108^\circ\). So all corresponding angles are equal.

Answer:

yes