Properties of Equality

Front

What is the Substitution Property of Equality?

Back

If a = b, then a can be replaced by b in any equation or expression.

Front

What does the Transitive Property state?

Back

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

Front

What is the Multiplication Property of Equality?

Back

If a = b, then a * c = b * c for any number c.

Front

Define the Reflexive Property of Equality.

Back

For any number a, a = a.

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac; it allows you to distribute multiplication over addition.

Front

What is the Associative Property of Addition?

Back

(a + b) + c = a + (b + c); the way numbers are grouped does not change their sum.

Front

What is the Associative Property of Multiplication?

Back

(a * b) * c = a * (b * c); the way numbers are grouped does not change their product.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the Reflexive Property of Congruence?

Back

For any geometric figure A, A ≅ A.

Front

What is the Symmetric Property of Congruence?

Back

If A ≅ B, then B ≅ A.