1. 2 Column PROOFS

2. 2-Column Proofs Similar to being a math lawyer in a math courtroom.
Use evidence found from markings on pictures and other math facts.
State the reason for providing each fact.
End the case with your “Prove” statement.

3. Prove: AEB  DEC B C E A D Statements: Reasons: 1. AE  DE, BE  CE2 A D
Statements:
Reasons:
1. AE  DE, BE  CE
1. Given
2. 1  2
2. Vertical angles
3. AEB  DEC
3. SAS

4. Given: AD || EC, BD  BC Prove: ABD  EBC
Statements:
Reasons:
1. Given
1. BD  BC
2. Given
2. AD || EC
3. D  C
3. Alt. Int. Angles
4. ABD  EBC
4. Vertical Angles
5. ABD  EBC
5. ASA

5. Given: B  C, D  F, …M is the midpoint of DF Prove: BDM  CFM
Statements:
Reasons:
1. Given
1. B  C, D  F
2. M is the midpoint of DF
2. Given
3. DM  FM
3. Def of midpoint
4. BDM  CFM
4. AAS

6. CPCTC

7. Corresponding
Parts of
Congruent
Triangles are
Congruent

8. Given: MP bisects LMN, ………LM  NM Prove: LP  NP
Statements:
Reasons: M
1. Given
1. MP bisects LMN
2. NMP  LMP
2. Def of Angle Bisector
3. Given
3. LM  NM
4. Reflexive Property
4. PM  PM
5. NMP  LMP
5. SAS
6. LP  NP
6. CPCTC