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Algebraic Proof

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 then.

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Algebraic Proof

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  1. Algebraic Proof Section 2-6

  2. 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 then

  3. 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.

  4. Distributive Property: a(b + c) = ab + ac

  5. Properties of Congruence • Reflexive Property: • Symmetric Property: • Transitive Property:

  6. Joke Time What do you get if you cross a dentist and a boat? The tooth ferry!

  7. What happened to the frog’s car when the parking meter expired? It got toad away!

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