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 the triangles.

Explanation:

Step1: Identify congruence criteria

We look for matching sides and angles. Here we see right - angles and one pair of equal sides marked.

Step2: Apply congruence postulate

If two right - triangles have one leg and the hypotenuse equal (HL - Hypotenuse - Leg postulate for right - triangles), or in this case, if we assume the right - angles are equal and one pair of corresponding sides are equal, and since the right - angles are non - included angles for the marked sides, we can use the AAS (Angle - Angle - Side) congruence criterion.

Answer:

The two triangles are congruent. They can be proven congruent by the AAS (Angle - Angle - Side) congruence criterion as they have a pair of right - angles (equal angles), a pair of equal sides, and another pair of non - included equal angles (the right - angles).