2 5 Reason Using Properties from Algebra Objective

2 -5: Reason Using Properties from Algebra

§Objective: Students will be able to use algebraic properties in logical arguments to explain solutions for algebra problems. §Agenda §Algebraic Properties of Equality §Examples (using the properties) §Algebraic Proofs using the properties

§ Addition Property: § Subtraction Property: § Multiplication Property: § Division Property:

§ Substitution Property: § Distributive Property:

Reflexive Property: For Real Numbers For Segment Lengths For Angle Measures

Symmetric Property: For Real Numbers For Segment Lengths For Angle Measures

Transitive Property: For Real Numbers For Segment Lengths For Angle Measures

§ Symmetric Property Transitive Property Reflexive Property Addition Property Division Property

§ Equation 1. ) Reason Given 2. ) Addition Property 3. ) Subtraction Property 4. ) Division Property

§ Equation 1. ) Reason Given 2. ) Distributive Property 3. ) Addition Property 4. ) Division Property

E D C A 1 2 B 3

§ Equation 1. ) Reason Given 2. ) Angle Addition Postulate 3. ) Angle Addition Postulate 4. ) Substitution Property 5. ) Transitive Property

A B C D

Equation 1. ) 2. ) 3. ) 4. ) 5. ) Reason Given Segment Addition Postulate Substitution Property

§Pg. 100 – 102 §#’s 1, 3 -5, 7, 9, 12 -14, 21 -26, 33 §(EC): 15 -17, 29