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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 =

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Presentation on theme: "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 ="— Presentation transcript:

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2 Algebraic Proof Section 2-6

3 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

4 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.

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

6 Properties of Congruence Reflexive Property: Symmetric Property: Transitive Property:

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

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


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