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Aim: To review solving indirect Proofs

A. Given: ABC , AB=AC, Point D is on line BC, BD DC. Do Now: . Prove: ABD ACD. Aim: To review solving indirect Proofs. B. C. D. To Solve Indirect Proofs They use the same reasons and properties as regular proofs to be solved.

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Aim: To review solving indirect Proofs

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  1. A Given: ABC , AB=AC, Point D is on line BC, BD DC Do Now: Prove: ABD ACD Aim: To review solving indirect Proofs B C D

  2. To Solve Indirect Proofs • They use the same reasons and properties as regular proofs to be solved. • Their only difference is that you are proving a statement false • You first make the assumption that that the opposite of what you want to prove is true • Then search for a conclusion that proves your assumption false • Because your assumption leads to a false conclusion and it is the opposite of what you want to prove then you have proven the statement true

  3. Given: ABC is not Isosceles Altitude BD #1 B Prove: BD does not Bisect AC C A D

  4. B Given: ABC is Scalene Altitudes AE and CD #2 D E Prove: AE CD A C

  5. #3 Given: MA AT and MH AT A T 3 Prove: angle 1 angle 2 E 1 2 M H

  6. #4 Given: ABC where angle 1 = angle 2 AD does not bisect angle CAB A 1 Prove: AB AC 2 B C

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