Properties of Equality and Congruence

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9 Terms

1
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Addition Property of Equality

If a=b, then a+c = a+b

2
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Subtraction Property of Equality

If a=b, then a-c + a-b

3
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Multiplication Property of Equality

If a=b, then ac=bc

4
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Division Property of Equality

If a=b, the a/c = b/c

5
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Substitution Property of Equality

If a=b, then a can be replaced by b in an expression

6
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Distributive Property of Equality

If c(a+b), then ac+bc

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Reflexive Property of Equality/Congruence

a=a

8
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Symmetric Property of Equality/Congruence

If a=b, then b=a

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Transitive Property of Equality/Congruence

If a=b and b=c, then a=c