Question

can you prove these shapes are congruent? yes no

Explanation:

Step1: Check angle - measures

In the first shape, the angles are \(30^{\circ},150^{\circ},30^{\circ},150^{\circ}\). In the second shape, the angles are also \(30^{\circ},150^{\circ},30^{\circ},150^{\circ}\).

Step2: Check side - lengths

The single - tick marks on corresponding sides of the two shapes indicate that the corresponding sides are equal in length.

Step3: Apply congruence criterion

Since all corresponding angles are equal and all corresponding sides are equal, by the Side - Angle - Side - Angle - Side (SASAS) congruence criterion for polygons, the two shapes are congruent.

Answer:

yes