# 2.6 Properties of Equality and Congruence

```2.6 Properties of Equality and
Congruence
Textbook page 88
Reflexive Property

Equality
AB  AB
mA  mA
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Congruence
AB  AB
A  A
Symmetric Property

Equality:
If AB  CD, then CD  AB
If mA  mB, then mB  mA

Congruence:
If AB  CD, then CD  AB
If A  B, then B  A
Transitive Property

Equality:
If AB  CD &amp; CD  EF , then AB  EF
If mA  mB &amp; mB  mC , then mA  mC

Congruence:
If AB  CD &amp; CD  EF , then AB  EF
If A  B &amp; B  C , then A  C
Properties of Equality
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equation
Subtraction Property: subtracting a number from each
side of an equation
Multiplication Property: multiplying by a number on
each side of an equation
Division Property: dividing by a number on each side
of an equation
Substitution Property: substituting a number for a
variable in an equation to produce an equivalent
equation
Homework
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Assignment # 3
Textbook Page 91
Problems 1-9 all (we will do these together in class)
Problems 10-20 all, 31-43 odd (do these on your own)
You will not have to write the problems IF you have
been good so far AND continue until you are dismissed
```