Properties of Equality M1 24-25

Front

What is the Reflexive Property of Equality?

Back

For any number a, a = a. This property states that any quantity is equal to itself.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a. This property states that if one quantity equals another, then the second quantity equals the first.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c. This property allows us to conclude that if two quantities are each equal to a third quantity, they are equal to each other.

Front

What is the Substitution Property of Equality?

Back

If a = b, then a can be replaced by b in any expression. This property is used to simplify expressions.

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c for any number c. This property states that adding the same value to both sides of an equation keeps it balanced.

Front

What is the Subtraction Property of Equality?

Back

If a = b, then a - c = b - c for any number c. This property states that subtracting the same value from both sides of an equation keeps it balanced.

Front

What is the Multiplication Property of Equality?

Back

If a = b, then a * c = b * c for any number c. This property states that multiplying both sides of an equation by the same value keeps it balanced.

Front

What is the Division Property of Equality?

Back

If a = b and c ≠ 0, then a / c = b / c. This property states that dividing both sides of an equation by the same non-zero value keeps it balanced.

Front

Provide an example of the Reflexive Property of Equality.

Back

Example: m∠1 = m∠1.

Front

Provide an example of the Symmetric Property of Equality.

Back

Example: If x = 5, then 5 = x.