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Writing Geometric Proofs

Writing Geometric Proofs. Section 4.4. Definition. Proof: showing that a statement must be true using known facts, definitions and theorems. NEVER ASSUME!. Column Proof Format. Statements. REASONS WHY. 1. 2. 3. 4. ∆ABC ≅ ∆DEF. 1. 2. 3. 4. SSS,SAS, ASA, AAS, or HL.

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Writing Geometric Proofs

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  1. Writing Geometric Proofs Section 4.4

  2. Definition • Proof: showing that a statement must be true using known facts, definitions and theorems. NEVER ASSUME!

  3. Column Proof Format Statements REASONS WHY 1. 2. 3. 4. ∆ABC ≅ ∆DEF 1. 2. 3. 4. SSS,SAS, ASA, AAS, or HL

  4. Common “Reasons” • #1 – “Given” in the problem • #2 – “Reflexive Property” Ex) AB = AB • #3 – Vertical Angles are congruent • #4 – “Transitive Property” if x = 3 and y =x then y = 3

  5. #1 Prove ∆HJN≅∆RFD

  6. #2 Prove ∆ABC≅∆DEF

  7. #3 Prove ∆KMO≅∆OLK

  8. #4 Prove ∆CBA≅∆CDE

  9. #5

  10. #6

  11. Prove: ABC EDC

  12. B and D are right angles. Prove: ABC EDC

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