Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent.

answer attempt 1 out of 1

the two triangles are related by , so the triangles

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Explanation:

Step1: Analyze triangle markings

Both triangles have two sides marked equal (isosceles) and the marked sides appear congruent. Also, one triangle is a rotation of the other (transformation: rotation).

Step2: Determine congruence

By SSS (Side - Side - Side) congruence criterion (if all three sides are congruent) or recognizing rotational transformation (which preserves congruence), the triangles are congruent. The relationship is a rotation (a rigid transformation), so they can be proven congruent.

Answer:

The two triangles are related by \(\boldsymbol{\text{rotation}}\) (a rigid transformation), so the triangles \(\boldsymbol{\text{can be proven congruent}}\) (e.g., by SSS as corresponding sides are equal, or via rigid transformation properties).