1. 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

2. 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.

3. T L N X Z R V Q Proofs w/CPCTC 1) Given: Prove: 2) Given: Prove: 1 3 24 Q T S N D F
3) Given:
Prove:
Geometry Lesson: Proving Segments and Angles of Triangles Congruent

4. 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

5. 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

6. 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