2. 2.5 Algebraic Properties
HW pg. 311
odds, 2125
odds, 28, 30
September 12, 2014
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 expression
3. 2.5 Algebraic Properties
HW pg. 311
odds, 2125
odds, 28, 30
September 12, 2014
Distributive Property: a(b + c) = ab + ac
4. 2.5 Algebraic Properties
HW pg. 311
odds, 2125
odds, 28, 30
September 12, 2014
Symmetric Property of Equality
Real Numbers: If a=b, then b=a
Segment Length: If AB = CD, then CD = AB
Angle Measure: If m<A=m<B, then m<B=m<A
Reflexive Property of Equality
Real Numbers: a = a
Segment Length: AB = AB
Angle Measure: m<A = 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<C
6. 2.5 Algebraic Properties
HW pg. 311
odds, 2125
odds, 28, 30
September 12, 2014
HW pg 108
#3-11 odds
21-25 odds,
28, 30
(30 is one extra credit point if you
get it correct)