Question

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

Answer 1

The question is referred to a particular pair of triangles.

They are two "siamese" right triangles. The side that they share is the hypotenuse of both triangles.

The other sides that are marked as congruent are the heights of each triangle.

Then, you can use the Hypotenuse  Leg theorem to prove the congruence of both triangles.

The hypotenuse  leg theorem states that any two rigth triangles that have congruent hypotenuse and a corresponding, congruent leg are congruent triangles.