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### 2.5 notes

1. 1. 2.5 Algebraic Proofs September 12, 2011 Bellwork Logic & Reasoning half sheet You need 3 colored pencils and scissors.HW pg. 108 #3­11 odd, 21­25 odd, 28­30 1
2. 2. 2.5 Algebraic Proofs September 12, 2011 2.5 Reason Using Properties from Algebra Algebraic Properties of Equality Addition: If a = b, then a + c = b + c Subtraction: If a = b, then a - c = b - c Multiplication: If a = b, then ac = bc Division: If a = b and c ≠ 0, then a/c = b/c Substitution: If a=b, then a can be substituted for b in any expressionHW pg. 108 #3­11 odd, 21­25 odd, 28­30 2
3. 3. 2.5 Algebraic Proofs September 12, 2011 Distributive Property: a(b + c) = ab + acHW pg. 108 #3­11 odd, 21­25 odd, 28­30 3
4. 4. 2.5 Algebraic Proofs September 12, 2011 Reflexive Property of Equality Real Numbers: a = a Symmetric Property of Equality Segment Length: AB = AB Real Numbers: If a=b, then b=a Angle Measure: m<A = m<A Segment Length: If AB = CD, then CD = AB Angle Measure: If m<A=m<B, then m<B=m<A Transitive Property of Equality Real Numbers: If a=b & b=c, then a=c Segment Length: If AB=CD & CD = EF, then AB=EF Angle Measure: If m<A=m<B & m<B=m<C, then m<A=m<CHW pg. 108 #3­11 odd, 21­25 odd, 28­30 4
5. 5. 2.5 Algebraic Proofs September 12, 2011HW pg. 108 #3­11 odd, 21­25 odd, 28­30 5
6. 6. 2.5 Algebraic Proofs September 12, 2011 HW pg 108 #3-11 odds 21-25 odds, 28, 30 (30 is one extra credit point if you get it correct)HW pg. 108 #3­11 odd, 21­25 odd, 28­30 6