1 / 10

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.

mareo
Download Presentation

Section 5.1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related