1. 2.5 Reasoning Using Properties from Algebra

2. Write into your foldable
Addition Property: If a = b, then
Subtraction Property: If a = b, then
Multiplication Property: If a = b, then
Division Property: If a = b and c  0. then
Substitution Property: If a = b, then
a+c = b+c.
a-c = b-c.
a*c = b*c.
a/c = b/c.
“a” can be substituted for an equation or expression

3. Look @ notes Given Addition Property Simplify Subtraction Propertyx x
Addition Property x 3x
Simplify 9 3 3x
Subtraction Property 6 2
Division Property 3

4. Look @ notes Given Distributive Property Addition Property
ab+ac
Given
-24x-8
Distributive Property
-24x 8
Addition Property 72 3
Division Property
-24

5. Look @ notes 4(5-x) = -2x Given 20x -4x = -2x Distributive Property
Addition Property
10 =x
Division Property

6. Look @ notes Given Distributive Property Addition Property
17.5
17.5
Addition Property
3.5s
Division Property
17.5
3.5
3.5

7. notes
a=a
AB = AB
m<A = m<A
b = a
CD = AB
m<B = m<A

8. notes
a = c
AB = EF
m<A = m<C

9. Look @ notes Given Segment Addition PostulateEF
Given DE
Segment Addition Postulate DE
Segment Addition Postulate EF
Substitution Property
Transitive Property AC
Addition Property AC CF
Substitution Property AD

10. Look @ notes Symmetric Property Transitive Property
Reflective Property