Warm Up: Key Concepts: Algebraic Properties of Equality let and are real numbers a, b, c Addition If = then + = + a b, a c b c. Property Subtraction If = then = a b, a c b c. – – Property Multiplication If = then = a b, ac bc. Property Division If = and c 0, then . a b Property Substitution If = then can be substituted for in any equation or expression. a b, a b Property Distributive Property Reflexive Properties of Equality For any real number = a, a a. Real Numbers For any segment = AB, AB AB. Segment Lengths For any angle . Angle Measures A, Symmetric Properties of Equality For any real numbers and if , then Real Numbers a b, a = b b = a.
Warm Up: Key Concepts: Algebraic Properties of Equality let a, b, and c are real numbers Addition Property If a = b, then a + c = b + c. Subtraction Property If a = b, then a – c = b – c. Multiplication Property If a = b, then ac = bc. Division Property If a = b and c 0, then . Substitution Property If a = b, then a can be substituted for b in any equation or expression. Distributive Property Reflexive Properties of Equality Real Numbers For any real number a, a = a. Segment Lengths For any segment AB, AB = AB. Angle Measures For any angle A, . Symmetric Properties of Equality Real Numbers For any real numbers a and b, if a = b , then b = a.
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