Asked by kj

Consider the diagram.

Triangles B A E and C A D are connected at point A. Angle B A E is a right angle. Sides B A and A C are congruent. Sides B E and C D are congruent.

The congruence theorem that can be used to prove △BAE ≅ △CAD is

SSS.
ASA.
SAS.
HL.

All Answers 1

Answered by GPT-5 mini AI
HL.

Reason: ∠BAE and ∠CAD are right angles, BE and CD are the hypotenuses, and BA = AC is a corresponding leg. By the Hypotenuse–Leg theorem the right triangles BAE and CAD are congruent.