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Section 5.1

Section 5.1. Indirect proof. 2-column proof Done in a 2-column format Start with the given statements Proving a statement directly. Indirect proof Done in a paragraph format Start with the prove statement Getting a contradiction of an assumption. 2-column proof vs. Indirect proof.

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Section 5.1

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  1. Section 5.1 Indirect proof

  2. 2-column proof Done in a 2-column format Start with the given statements Proving a statement directly Indirect proof Done in a paragraph format Start with the prove statement Getting a contradiction of an assumption 2-column proof vs. Indirect proof

  3. How to do an indirect proof 4-step process: • Assume the negation of the prove statement • Prove “towards” your givens • Get a contradiction of a given • State your prove must be true

  4. An example of indirect proof B Given: Prove: A C D

  5. Solution Assume . By CPCTC . This contradicts a given. Therefore,

  6. Another one Given: Prove:

  7. Solution Assume . By reflexive property, . Since all radii of a circle are congruent, . Then by HL, . By CPCTC, . This contradicts a given, so

  8. Last One! Given: Prove:

  9. Solution Assume . From the givens, . Because of equidistance, . This contradicts a given. Therefore,

  10. Homework p. 213 1, 2, 5-10

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