By Shelby Smith and Nellie Diaz

Section 8-1 SSS and SAS  If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.  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.

Section 8-2 ASA and AAS  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.  If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of another triangle, then the triangles are congruent.

Section 8-3 Congruent Triangles  If the hypotenuse and the leg of one right triangle are congruent to the hypotenuse and the leg of another right triangle, then the triangles are congruent. Hypotenuse Leg (HL)

Identify the Theorem that goes with each Triangle AAS SAS SSS SSS

Section 8-4 Using Congruent Triangles in Proofs  CPCTC Statements Reasons - Corresponding Parts 1.)<A = <C 1.) Given of Congruent Triangles 2.)BD bisects <ABC 2.) Given are Congruent. 3.)<1 = <2 3.) Defn. of < bisector 4.) BD = BD 4.) reflexive prop. Given: <A = <C, BD bisects <ABC 5.) ABD = CBD 5.) AAS Prove: AB = CB 6.) AB = CB 6.) CPCTC

Section 8-5 Using More than One Pair of Congruent Triangles  Some overlapping triangles share a common angle.