Question

are these shapes congruent?
35 km
108°
108°
43 km
43 km
72°
72°
62 km
35 km
108°
43 km
43 km
72°
62 km
yes
no

Explanation:

Step1: Check side lengths

The first shape has sides \(35\) km, \(43\) km, \(62\) km, \(43\) km. The second shape has sides \(35\) km, \(43\) km, \(62\) km, \(43\) km. Sides are equal.

Step2: Check angles

The first shape has angles \(108^{\circ},108^{\circ},72^{\circ},72^{\circ}\). The second shape has angles \(108^{\circ},108^{\circ},72^{\circ},72^{\circ}\). Angles are equal.

Answer:

yes