2-6 Algebraic Proof

2-6 Algebraic Proof - Algebraic Proof Section 2-6 Properties of Equality • Addition Property If a = b and c = d then a c = b d • Subtraction

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Unformatted text preview: Algebraic Proof Section 2-6 Properties of Equality • Addition Property: If a = b and c = d, then a + c = b + d. • Subtraction Property: If a = b and c = d, then a – c = b – d. • Multiplication Property: If a = b, then ca = cb. • Division Property: If a = b and c ≠ 0 then a = b c ≠ 0, then c c ab = cc • Substitution Property: If a = b, then either a or b may be substituted for the other in any equation or inequality. • Reflexive Property: a = a • Symmetric Property: If a = b, then b=a • Transitive Property: If a = b and b = c, then a = c. • Distributive Property: a(b + c) = ab + ac Properties of Congruence • Reflexive Property: DE ≅ DE • Symmetric Property: If DE ≅ FG, then FG ≅ DE • Transitive Property: If ∠A ≅ ∠B and ∠B ≅ ∠C , then ∠A ≅ ∠C. Joke Time What do you get if you cross a dentist and a boat? The tooth ferry! What happened to the frog’s car when the parking meter expired? It got toad away! ...
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This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.

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2-6 Algebraic Proof - Algebraic Proof Section 2-6 Properties of Equality • Addition Property If a = b and c = d then a c = b d • Subtraction

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