Reasoning With Properties of Algebra Chapter 2 Section 2.4 Reasoning With Properties of Algebra

Algebraic Properties of Equality Let a, b,c be real numbers Addition property of equality If a = b, then a + c = b + c Subtraction property of equality If a = b, then a - c = b – c Multiplication property of equality If a = b, then ac = bc Division property of equality If a = b and c  0, then a  c = b  c

Algebraic Properties of Equality Let a, b,c be real numbers Reflexive property of equality For any real number a, a = a Symmetric property of equality If a = b, then b = a Transitive property of equality If a = b and b = c, then a = c Substitution property of equality If a = b, then a can be substituted for b in any equation or expression

Use the property to complete the statement 1. Reflexive property of equality: mT = 2. Transitive property: If KL = MN and _____ = RW, then _____ 3. Addition property of equality: If x = 5, then 17 + x = ______ 4. Symmetric property of equality: If BC = RL, then ______ 5. Substitution property of equality: If mA = 45 and mB = mA + 90 then____ Multiplication property of equality: If mA = 45, then (mA) = _____

Complete the argument, giving a reason for each step

Complete the argument, giving a reason for each step

Complete the argument, giving a reason for each step

Complete the argument, giving a reason for each step Given

Complete the argument, giving a reason for each step Given