AAS

Theorem 4.5 AAS (Angle-Angle-Side) Congruence Theorem

If __________________________________________________________ of one triangle are

congruent to _________________________________________________________ of another

triangle, then the triangles are congruent.

Note: While ASA can be used anytime AAS can be used and vice-versa, they are different. The congruence markings on your triangles and the steps in your proofs must agree with the congruence postulate/theorem you use.

Two angles and a non-included side

Corresponding parts

Example: Are the triangles congruent, and if so, why?

𝐴𝑆𝐴 𝐴𝐴𝑆

Example: Name the congruent triangles and give the reason for their congruence. None is a possible answer.

C

A L F

H S

R

O

E

E

N

F

I K

𝐴𝐴𝑆∆ 𝐴𝐶𝐿≅ ∆ 𝐴𝐶𝐹

𝐴𝑆𝐴∆𝑂𝐻𝐸≅∆𝑂𝑆𝑅

𝑛𝑜𝑛𝑒