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 components

Both triangles are right triangles (one right angle each). Each has two marked sides: one side with a single tick, one with double ticks.

Step2: Match congruence criterion

For right triangles, the Hypotenuse-Leg (HL) congruence rule applies: if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent. Here, the single-tick sides are corresponding legs, double-tick sides are corresponding hypotenuses.

Step3: State relationship & congruence

The triangles are related by having corresponding equal right angles, equal legs, and equal hypotenuses, satisfying HL congruence.

Answer:

The two triangles are related by having corresponding congruent right angles, one pair of congruent legs, and one pair of congruent hypotenuses, so the triangles can be proven congruent by the Hypotenuse-Leg (HL) congruence criterion.