'Temporary assumption' diaporamas de présentation

COSC 6114

COSC 6114. Prof. Andy Mirzaian. Intersections. TOPICS. Line Segments Intersections Planar Subdivision Thematic Map Overlay. Line Segments Intersections Thematic Map Overlay. Photos courtesy of ScienceGL. Applications :. Graphics: hidden line/surface removal

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5-5 Indirect Proof

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EXAMPLE 3

x. Assume temporarily that x is divisible by 4 . This means that = n for some whole number n . So, multiplying both sides by 4 gives x = 4 n . 4. EXAMPLE 3. Write an indirect proof. Write an indirect proof that an odd number is not divisible by 4 . x is an odd number.

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EXAMPLE 4

AB DE. BC EF. m B > m E. Proof : Assume temporarily that m B > m E . Then, it follows that either m B = m E or m B < m E . EXAMPLE 4. Prove the Converse of the Hinge Theorem. Write an indirect proof of Theorem 5.14 . GIVEN :. AC > DF. PROVE:.

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EXAMPLE 3

x. Assume temporarily that x is divisible by 4 . This means that = n for some whole number n . So, multiplying both sides by 4 gives x = 4 n. 4. EXAMPLE 3. Write an indirect proof. Write an indirect proof that an odd number is not divisible by 4. x is an odd number.

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