Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent.
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answer attempt 1 out of 2
the two triangles are related by , so the triangles
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Explanation:

Step1: Identify congruent parts

Both triangles are right triangles (right angles are congruent). One leg of each triangle is marked congruent, and the hypotenuse of each triangle is marked congruent.

Step2: Match congruence criterion

This matches the Hypotenuse-Leg (HL) congruence theorem for right triangles, which states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the triangles are congruent. The triangles are related by a reflection (or rotation/reflection, a rigid transformation that preserves congruence).

Answer:

The two triangles are related by a rigid transformation (reflection), so the triangles can be proven congruent by the HL (Hypotenuse-Leg) congruence theorem.