Question

question
determine the relationship between the two triangles and whether or not they can be proven to be congruent.
answer
the two triangles are related by
, so the triangles

Explanation:

Step1: Identify triangle markings

Top triangle: 1 right angle, 1 marked side, 1 unmarked side. Bottom triangle: 1 right angle, 1 marked side, 1 unmarked side. The marked sides are corresponding, and right angles are corresponding.

Step2: Match congruence criterion

We have a right angle, a hypotenuse (unmarked side, common to the correspondence), and a leg (marked side). This fits the HL (Hypotenuse-Leg) congruence criterion for right triangles.

Answer:

The two triangles are related by the HL (Hypotenuse-Leg) congruence criterion, so the triangles are congruent.