Question

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

ASA Postulate

AAS Theorem

HL Theorem

SAS Postulate

Answer 1

You have two right triangles that have a corresponding congruent leg and a common hypotenuse, so you can use HL Theorem to prove the triangles congruent.

Answer 2

Answer: HL Theorem

Step-by-step explanation:

In the given picture, there are two right triangles .

Here one side of both triangles are equal.

Also they both have one side as common.

So they are congruent by HL Theorem.

• HL theorem or hypotenuse leg theorem tells that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.