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SSS,SAS,ASA,AAS notes.notebook November 12, 2012 Congruent Triangles: SSS, SAS, ASA, AAS SSS ASA 1 SSS,SAS,ASA,AAS notes.notebook November 12, 2012 SAS AAS 2 SSS,SAS,ASA,AAS notes.notebook November 12, 2012 Two TRIANGLES are CONGRUENT if ONE of the following are met. Postulate: SSS (Side Side Side) If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent Postulate: SAS (Side Angle Side) If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. Postulate: ASA (Angle Side Angle) If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. Theorem: AAS (Angle Angle Side) If two angles and a nonincluded side in one triangle are congruent to two angles and the corresponding nonincluded side in another triangle, then the triangles are congruent 3 SSS,SAS,ASA,AAS notes.notebook November 12, 2012 AAA SSA Which postulate or theorem would you use to show that the two triangles are congruent? 4 SSS,SAS,ASA,AAS notes.notebook November 12, 2012 5 SSS,SAS,ASA,AAS notes.notebook November 12, 2012 6