Triangle Congruence by ASA and AAS

Triangle Congruence byASA and AAS Acadamic Geometry

C Y A B X Z Before we start…let’s get a few things straight INCLUDED SIDE

Postulate 4-3 Angle-Side-Angle (ASA) Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. Triangle GBH is congruent to Triangle KPN p b g h n k

Angle-Side-Angle (ASA) Congruence Postulate A A S S A A Two angles and the INCLUDED side

ASA Which triangle is congruent to Triangle CAT by the ASA postulate? o d c i g t a n f

ASA Prove that Triangle NML is congruent to Triangle NPO Given: NM congurent NP Angle M congruent to Angle P Statement Reason l p n m o

Theorem 4-2 Angle-Angle-Side (AAS) Theorem If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent Triangle CDM is congruent to Triangle XGT x a z b y c

A A A A S S Angle-Angle-Side (AAS) Congruence Postulate Two Angles and One Side that is NOT included

Writing a Proof Given XQ || TR, XR bisects QT Prove Triangle XMQ congruent Triangle RMT Statements Reasons q x m r t

SSS SAS ASA AAS NO BAD WORDS Your Only Ways To Prove Triangles Are Congruent

Triangle Congruence by ASA and AAS