1. Bellringer

2. Algebraic Proof
Chapter 2-6

4. Algebraic Proof Algebraic proofs use properties to prove relationships
Reflexive, Symmetric, Transitive, Addition and Subtraction, Multiplication and Division, Substitution, and Distributive Property
A group of algebraic steps used to solve problems form a deductive argument.

5. Algebraic Properties

7. Example Solve 3(x – 2) = 42 Algebraic Steps Properties
3(x – 2) = Given
3x – 6 = Distributive Property
3x – = Addition Property
3x = Substitution Property
3x/3 = 48/ Division Property
X = Substitution Property

8. Two column proof
A two-column proof, or formal proof contains statements and reasons organized in two columns.
In a two column proof each step is called a statement and the properties that justify each step are called reasons

9. Example If 3(x – 2) = 3, then x = 3 Statements Reasons
3(x – 2) = Given
3x – 6 = Distributive property
3x – = Addition property
3x = Substitution property
3x/3 = 9/ Division Property
X = Substitution property

11. Geometry proof

12. Example Given: m 2 = 60 1 is congruent to 2 Prove m 1 = 60
Statement Reasons
m 2 = Given
M 2 = m Definition of congruence
60 = m Substitution
M 1 = Symmetric Property

14. You Do