Question

can you prove these shapes are congruent?

Explanation:

Step1: Check side - lengths

The segments with the same number of red marks on corresponding sides of the two pentagons are equal in length.

Step2: Check angles

The angles with red arcs on corresponding vertices of the two pentagons are equal in measure.

Step3: Apply congruence criterion

By Side - Angle - Side - Angle - Side (SASAS) congruence criterion for polygons (since we have equal corresponding sides and equal corresponding angles in the correct order), the two pentagons are congruent.

Answer:

yes