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Cong sss sas saa asa (Day 1).notebook November 26, 2012 Cong sss sas saa asa (Day 1).notebook November 26, 2012 Geometry: Ch. 4 Triangle Congruence ~ Congruent ( = ) Figures: All the parts of one figure are congruent to the ___________ parts of the other figure. EX. 1 E B ~ ABC = FED A D F C Congruent Angles: Congruent Sides: EX. 2 ~ JKL = PNM P L N J K M Cong sss sas saa asa (Day 1).notebook November 26, 2012 SideSideSide (SSS) Congruence: If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. K F H G SideAngleSide (SAS) Congruence: If two sides and the INCLUDED angle of one triangle are congruent to two sides and the INCLUDED angle of a second triangle, then the two triangles are congruent. Cong sss sas saa asa (Day 1).notebook November 26, 2012 AngleSideAngle (ASA): If two angles and the INCLUDED side of one triangle are congruent to two angles and the INCLUDED side of a second triangle, then the two triangles are congruent. E B A C D F AngleAngleSide (AAS): If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two triangles are congruent. Y R W X S Q Cong sss sas saa asa (Day 1).notebook November 26, 2012 Cong sss sas saa asa (Day 1).notebook November 26, 2012 Ex. 1 State if the two triangles are congruent. If so, state how you know. d. ___ a. _________ b. _______ c. ______ Ex. 2 State what additional information is required in order to know that the triangles are congruent for the given reason. G L A K H F B b. AAS b. a. SSS D J C Cong sss sas saa asa (Day 1).notebook November 26, 2012