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ANSWERS TO EVENS 2) I 4) IG 6) BGI 8) Definition of Congruent Triangles 10) a) KRO b) S, K, CPCTC c) KO, CPCTC, SK d) angle R, CPCTC, alt int angles are congruent 12) (7,2) 4-2 SOME WAYS TO PROVE TRIANGLES CONGRUENT POSTULATES TO PROVE 2 TRIANGLES ARE CONGRUENT SSS Side-Side-Side: If 3 sides of a ∆ are congruent to 3 sides of another ∆, then the ∆’s are congruent. POSTULATES TO PROVE 2 TRIANGLES ARE CONGRUENT SAS Side-Angle-Side: If 2 sides and the included angle of a ∆ are congruent to 2 sides and the included angle of another ∆, then the ∆’s are congruent. Included: in between the 2 sides POSTULATES TO PROVE 2 TRIANGLES ARE CONGRUENT ASA Angle-Side-Angle: If 2 angles and the included side of a ∆ are congruent to 2 angles and the included side of another ∆, then the ∆’s are congruent. Included: in between the 2 angles GIVEN: OK BISECTS ANGLE MOT, OM = OT PROVE: ∆MOK = ∆TOK Statement Reason O OK bisects angle MOT Given 12 OM = OT 1 T M 2 OK = OK ∆MOK = ∆TOK Definition of angle bisector Reflexive SAS K TOO Page 124 #4-9 Answers: 4) Yes, ASA 5) Yes, SSS 6) Yes, SAS 7) No 8) No 9) No HOMEWORK Worksheet 4-2 Flash Cards SSS SAS ASA