This document discusses reasoning in algebra and geometry. It covers: 1) Identifying and using properties of equality like addition, subtraction, multiplication, division, and properties of congruence like reflexive, symmetric, and transitive. 2) Using the distributive property to justify combining like terms. 3) Using properties of congruence to justify statements.

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)

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