Aim: Do Now: ( ) A B C D E Ans: S.A.S. Postulate Ans: Ans:

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Presentation transcript:

How do we prove corresponding segments and angles of triangles congruent? Aim: Do Now: ( ) A B C D E Ans: S.A.S. Postulate Ans: Ans: Geometry Lesson: Proving Segments and Angles of Triangles Congruent

Ex: Given: Prove: CPCTC: Corresponding Parts of Congruent Triangles are Congruent. From the definition of congruent triangles: A B C D Ex: Given: Prove: Statements Reasons 1) 2) 3) 4) 5) 6) 7) Given Given Def. angle bisector Reflexive Postulate A.S.A. Postulate C.P.C.T.C. C.P.C.T.C.

T L N X Z R V Q Proofs w/CPCTC 1) Given: Prove: 2) Given: Prove: 1 3 2 4 Q T S N D F 3) Given: Prove: Geometry Lesson: Proving Segments and Angles of Triangles Congruent

N R T D D Z B R E Q S N T B Proofs w/CPCTC 4) Given: Prove: 5) Given: Geometry Lesson: Proving Segments and Angles of Triangles Congruent

1 3 2 4 Q T S N D F 3) Given: Prove: Solution #3 Given Statements Reasons 1) 2) 3) 4) 5) 6) 7) 8) Given Def. Perpendicular Given Def. line bisector S.A.S. Postulate C.P.C.T.C Geometry Lesson: Proving Segments and Angles of Triangles Congruent

N R T D 4) Given: Solution #4 Prove: Given Reflexive postulate Statements Reasons 1) 2) 3) 4) 5) Given Reflexive postulate S.S.S. postulate C.P.C.T.C. Def. angle bisector Geometry Lesson: Proving Segments and Angles of Triangles Congruent