1. Using Triangle Congruence to Prove Sides and Angles Congruent C h. 5-2
Geometry
St. Barnabas HS
Bronx, NY
Geometry Lesson: Proving Segments and Angles of Triangles Congruent

2. 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:

3. 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.

4. 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:

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

6. 1 3 2 4 Q T S N D F 3) Given: Prove: Given Def. Perpendicular Given
Solution #3
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

7. N R T D 4) Given: Prove: Given Reflexive postulate S.S.S. postulate
Solution #4
Statements
Reasons 1) 2) 3) 4) 5)
Given
Reflexive postulate
S.S.S. postulate
C.P.C.T.C.
Def. angle bisector