AAS Proofs

• If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

Angle-Angle-Side (AAS) Congruence Theorem

If Angle

EFBC

∆ABC ∆≅ DEF

ThenSide

Angle∠A D≅ ∠∠C F≅ ∠

Proof of AAS Congruence Theorem

Given: A D∠ ≅∠ , C F,∠ ≅∠

Prove: ∆ABC ∆≅ DEF

EFBC ∠A D≅ ∠ , C F,∠ ≅ ∠

Given

∠B E≅ ∠ Third angles theorem∆ABC ≅∆DEF ASA Congruence Postulate

EFBC

Meteors and Meteorites

Meteors and Meteorites

Homework

• Exercise 4.4 page 223: 1-31, odd.