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2-5 Reasoning in
Algebra and Geometry
*I can identify and use the properties of equality.
(addition, subtraction, multiplication, division,
reflexive, symmetric, transitive, and substitution.)
*I can use the distributive property to justify
combining like terms
*I can use the properties of congruence to justify a
statement. (reflexive, symmetric, transitive)
a

    c               c




                        0
c




    a           c
            a
4                     3

 20        4        3           3

100   20       60       9

120            51
NAB
     NAB
2x – 75
x – 75
 x
A

N

    Q
Given

Congruent segments have equal measure

 Reflexive Property of Equality

 Addition Property of Equality

 Segment Addition Postulate

 Definition of congruence
Objective Practices:
 Lesson   Check: pg. 116 #1 – 4
    Due at end of class

 HW:   pgs. 117 – 119 # 5 – 25 odds

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2 5 reasoning in algebra and geometry (1)

  • 1. 2-5 Reasoning in Algebra and Geometry *I can identify and use the properties of equality. (addition, subtraction, multiplication, division, reflexive, symmetric, transitive, and substitution.) *I can use the distributive property to justify combining like terms *I can use the properties of congruence to justify a statement. (reflexive, symmetric, transitive)
  • 2.
  • 3. a c c 0 c a c a
  • 4. 4 3 20 4 3 3 100 20 60 9 120 51
  • 5. NAB NAB 2x – 75 x – 75 x
  • 6. A N Q
  • 7. Given Congruent segments have equal measure Reflexive Property of Equality Addition Property of Equality Segment Addition Postulate Definition of congruence
  • 8. Objective Practices:  Lesson Check: pg. 116 #1 – 4  Due at end of class  HW: pgs. 117 – 119 # 5 – 25 odds