Properties of Equality

Front

What is the Reflexive Property?

Back

For any number a, m∠1 = m∠1. It states that any quantity is equal to itself.

Front

What is the Transitive Property?

Back

For any numbers a, b, and c, if a = b and b = c, then a = c.

Front

What is the Symmetric Property?

Back

If a = b, then b = a. It states that equality can be reversed.

Front

What is the Substitution Property?

Back

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

Front

What is the Identity Property for Addition?

Back

For any number a, a + 0 = a. Adding zero does not change the value.

Front

What is the Identity Property for Multiplication?

Back

For any number a, a × 1 = a. Multiplying by one does not change the value.

Front

What is the Multiplicative Inverse?

Back

For any number a (where a ≠ 0), a × (1/a) = 1. It states that a number multiplied by its reciprocal equals one.

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c. You can add the same value to both sides of an equation.

Front

What is the Subtraction Property of Equality?

Back

If a = b, then a - c = b - c. You can subtract the same value from both sides of an equation.

Front

What is the Multiplication Property of Equality?

Back

If a = b, then a × c = b × c. You can multiply both sides of an equation by the same value.