Question

Type SSS SAS ASA AAS or HL to justify why the two larger triangles are congruent

Answer 1

HL

Explanation:

We know the following:

The hypotenuse, DB, of ∆BAD is congruent to the hypotenuse, CA, of ∆CBA.

Also, a leg, AB in ∆BAD is congruent to a leg, AB in ∆CBA.

This shows that the hypotenuse and a leg of ∆CBA is congruent to the hypotenuse and the corresponding leg of ∆BAD. Based on the Hypotenuse-Leg Theorem, both triangles are congruent.