Question

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

Step1: Recall the congruence criteria

The Hypotenuse - Leg (HL) congruence criterion for right - angled triangles states that if the hypotenuse and one leg of a right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two triangles are congruent.

Step2: Identify the parts of the triangles

In the first right - angled triangle, we have a right angle, and the markings show that one leg and the hypotenuse (by the nature of the triangle's side lengths - in a right - angled triangle, the longest side is the hypotenuse) can be compared. In the second right - angled triangle, we also have a right angle, and the corresponding leg (marked) and hypotenuse (longest side) are present.

Step3: Apply the HL criterion

Since both are right - angled triangles (right angles are equal), and the marked leg and the hypotenuse (by triangle side properties) of one triangle are equal to the marked leg and hypotenuse of the other triangle, we can use the HL congruence criterion.

Answer:

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