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QUESTION IMAGE

can you prove these shapes are congruent? yes no

Question

can you prove these shapes are congruent? yes no

Explanation:

Step1: Check side - length equality

The red marks on corresponding sides of the two hexagons indicate that all corresponding sides are equal.

Step2: Check angle - measure equality

All corresponding interior angles are \(120^{\circ}\), so all corresponding angles are equal.

Step3: Apply congruence criterion

By the Side - Angle - Side (SAS) congruence criterion (repeated for all sides and angles in a polygon), since all corresponding sides and angles are equal, the two hexagons are congruent.

Answer:

yes