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

2. 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

3. 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

4. Use the property to complete the statement
1. Reflexive property of equality: mT =
m T
KL = RW
2. Transitive property: If KL = MN and _____ = RW, then _____ MN
17 + 5
3. Addition property of equality: If x = 5, then 17 + x = ______
4. Symmetric property of equality: If BC = RL, then ______
RL = BC
5. Substitution property of equality:
If mA = 45 and mB = mA + 90 then____
mB = = 135
Multiplication property of equality: If mA = 45,
then (mA) = __15___

5. Complete the argument, giving a reason for each step
Distributive Property
Addition Property of =
Subtraction Property of =

6. Complete the argument, giving a reason for each step
Addition Property of =
Addition Property of =
Division Property of =

7. Complete the argument, giving a reason for each step
Segment Addition Postulate
Substitution prop of =
Substitution property of =

8. Complete the argument, giving a reason for each step
Given
a. Reflexive prop of =
b. Addition property of =
c. Angle Addition postulate
d. Angle Addition postulate
e. Substitution property of =

9. Complete the argument, giving a reason for each step
Given
a. Definition  lines
b. Definition  lines
c. Substitution property of =