Homework Pg107(2,6,10,12-15,25-28,30-32,49).

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Presentation transcript:

Homework Pg107(2,6,10,12-15,25-28,30-32,49)

2.5 Algebraic Proof

Properties of Equality Addition if 5 = 5 then 5 + 2 = 5 + 2 Subtraction if 5 = 5 then 5 – 2 = 5 – 2 Multiplication if 4 = 4 then (3)(4) = (3)(4) Division if 3 = 3 then (3/2) = (3/2) Reflexive 3 = 3 Symmetric if a = b then b = a Transitive if a = b and b = c then a = c Substitution if a = b then b can be substituted into any equation for a

Solving an equation 5x + 3 = 18 3x + 2 = 2x – 7 If a = 3 and b = 6 find c 3a + c = 2b

Properties of congruence Congruence means pieces of equal size or shape Equality means the same value Reflexive Symmetric Transitive

Tell the property of congruence