Question

triangle congruence criteria
score: 13/15 penalty: none
question
determine the relationship between the two triangles and whether or not they can be proven to be congruen
answer attempt 1 out of 2
the two triangles are related by , so the triangles
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Explanation:

Step1: Identify marked congruent parts

Both triangles have a right angle ($90^\circ$), one pair of congruent legs (marked with one tick), and one pair of congruent hypotenuses (marked with two ticks).

Step2: Match to congruence criterion

The Hypotenuse-Leg (HL) congruence rule 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 rigid transformation (reflection/translation/rotation) that maps one to the other, preserving side/angle measures.

Answer:

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