Question

Name the postulate or theorem you can use to prove the triangles congruent.

Answer 1

Answer: Since they have corresponding indications that they could be congruent, you would use ASA because if you use the right angle then the line with 2 indentations and the angle because side 1 and side 2, you would get ASA.

Answer 2

HL theorem.

Explanation:

According to the image, the given triangles have congruent hypothenuse and a corresponding congruent leg, that means we need to use Hypothenuse-Leg theorem.

The Hypothenuse-Leg (HL) theorem states that if the triangles have congruent hypothenuse and a corresponding congruent leg, then those triangles are congruent.

This theorem is based on the definition about the right angle of a right triangle, that's why is only needed to elements to have a congruence.

Therefore, the answer is HL theorem.