2-4 Reasoning in Algebra

# 2-4 Reasoning in Algebra - If a = b and b = c then a = c...

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Reasoning in Algebra Section 2-4

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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 c b c a then c = , 0 c b c a = 0 c
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:

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Unformatted text preview: If a = b and b = c, then a = c. • Distributive Property: a(b + c) = ab + ac Properties of Congruence • Reflexive Property: • Symmetric Property: • Transitive Property: DE DE 2245 DE FG then FG DE If 2245 2245 , . , C A then C B and B A If ∠ 2245 ∠ ∠ 2245 ∠ ∠ 2245 ∠ 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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2-4 Reasoning in Algebra - If a = b and b = c then a = c...

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