McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
4. Indirect Proof
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Exercise 12 Page 441

An indirect proof starts with the assumption that the statement we are trying to prove is not true.

∠1 and ∠2 are supplementary angles.

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An indirect proof starts with the assumption that the statement we are trying to prove is not true. In this case, the statement is that ∠1 and ∠2 are not supplementary angles. The negation of this statement is that the angles are supplementary angles.

∠1and∠2 are notsupplementary angles. ⇓ ∠1and∠2 aresupplementary angles. Finally, we can state the assumption we would make to start the indirect proof. Assumption: ∠1 and ∠2 are supplementary angles.