Question

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

Explanation:

Step1: Identify congruent parts

Both triangles have a right angle (90°), one pair of congruent legs (single tick marks), and one pair of congruent hypotenuses (double tick marks).

Step2: Match congruence criterion

This matches the HL (Hypotenuse-Leg) congruence rule 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.

Step3: Describe triangle relationship

The triangles are related by a rigid transformation (reflection/rotation, which preserves side/angle measures), so their corresponding parts are congruent.

Answer:

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