 # Bellringer.

## Presentation on theme: "Bellringer."— Presentation transcript:

Bellringer

Algebraic Proof Chapter 2-6

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.

Algebraic Properties

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

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

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

Geometry proof

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

You Do