TODAY IN GEOMETRY…  Learning Goal: 2.5 Use Algebraic Properties to form logical arguments  Independent Practice  Retake Ch. 1 Test before Friday! 

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2.5 Reasoning in Algebra and Geometry

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Presentation transcript:

TODAY IN GEOMETRY…  Learning Goal: 2.5 Use Algebraic Properties to form logical arguments  Independent Practice  Retake Ch. 1 Test before Friday!  CH. 2 TEST FRIDAY!

2.5 Algebraic Properties Addition property Subtraction property Multiplication property Division Property Substitution property Distribution property Combine like terms

ALGEBRAIC PROOFS (7): REASONS/ PROPERTIESEXAMPLE 1. ADDITION PROPERTY 2. SUBTRACTION PROPERTY 3. MULTIPLICATION PROPERTY 4. DIVISION PROPERTY

ALGEBRAIC PROOFS (7): REASONS/ PROPERTIESEXAMPLE 5. SUBSTITUTION PROPERTY 6. DISTRIBUTIVE PROPERTY 7. COMBINE LIKE TERMS

ALGEBRAIC PROOF: Statement Reason 1. Given. 2. Subtraction Property 3. Division Property

ALGEBRAIC PROOF: Statement Reason 1. Given. 2. Subtraction Property 3. Division Property PROOFS WITHOUT THE “WORK”

ALGEBRAIC PROOF: Statement Reason 1. Given. 2. Distribution Property 3. Addition Property 4. Division Property

ALGEBRAIC PROOF: Statement Reason 1. Given. 2. Distribution Property 3. Addition Property 4. Division Property PROOFS WITHOUT THE “WORK”

ALGEBRAIC PROOF: Statement Reason 1. Given. 2. Distribution Property 4. Subtraction Property 5. Division Property 3. Combine like terms

ALGEBRAIC PROOF: Statement Reason 1. Given. 2. Distribution Property 4. Subtraction Property 5. Division Property 3. Combine like terms PROOFS WITHOUT THE “WORK”

PROPERTIES REAL NUMBERSSEGMENTSANGLES REFLEXIVE SYMMETRIC TRANSITIVE

SOLUTIONS: 4.SYMMETRIC PROPERTY 5.TRANSITIVE PROPERTY 6.REFLEXIVE PROPERTY

HOMEWORK #4: Pg. 108: 3-5, 6-14, If finished, work on other assignments: HW #1: Pg. 75: 3-17, 23-28, 31 HW #2: Pg. 82: 3-18, 26-28, HW #3: Inductive Reasoning and Conditional Statement WS