# The Symmetric Property

Latest update to this document: 17 February 2004

The symmetric property says that if one number is equal to a second number, then the second
number is equal to the first number.

If a=b, then b=a.

Look at it with numbers. Replace a with
2 and b with
2.

2=2 and 2=2.

You can see that it looks the
same either way. Symmetric means that it has two equal, identical halves. If the numbers on opposite
sides of the equals sign are the same, they are symmetric.

The Associative Property

The Commutative Property

The Distributive Property

The Identity Property

The Reflexive Property

The Transitive Property
**Links**

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Northern Michigan University**

J. Partanen: jpartane@nmu.edu