Geometry Properties of Equality and Congruence

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Last updated 11:35 AM on 10/6/26
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12 Terms

1
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Addition Property of Equality

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

2
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Subtraction Property of Equality

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

3
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Multiplication Property of Equality

If a = b, then a x c = b x c.

4
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Division Property of Equality

If a = b, then a/c = b/c.

5
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Reflexive Property of Equality

a = a

6
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Symmetric Property of Equality

If a = b, then b = a.

7
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Transitive Property of Equality

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

8
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Substitution Property of Equality

If a = b, then b can replace a in any expression.

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Distributive Property

a(b + c) = ab + ac

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Reflexive Property of Congruence

11
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Symmetric Property of Congruence

12
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Transitive Property of Congruence