2.5 Algebra Reasoning

Addition Property: if a=b, then a+c = b+c Addition Property: if a=b, then a+c = b+c Subtraction Property: if a=b, then a-c = b-c Subtraction Property: if a=b, then a-c = b-c Multiplication: if a=b, then ac = bc Multiplication: if a=b, then ac = bc Division: if a=b, then a/c = b/c Division: if a=b, then a/c = b/c Substitution Property: if a=b, then a may be replaced by b in any equation or expression Substitution Property: if a=b, then a may be replaced by b in any equation or expression Distributive Property: a(b+c) = ab + ac Distributive Property: a(b+c) = ab + ac

Reflexive Property: a = a Reflexive Property: a = a Ex: AB = AB, or m<D = m<D Symmetric Property: if a = b, then b = a Symmetric Property: if a = b, then b = a Ex: AB = JK and JK = AB Transitive Property: if a=b, and b=c, then a=c Transitive Property: if a=b, and b=c, then a=c If AB = CD and CD = XY, then AB = XY