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Presentation transcript:

Flow Chart

2 Column PROOFS

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.

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

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

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

CPCTC

Corresponding Parts of Congruent Triangles are Congruent

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