Properties of Equality and Congruence

Front

What is the Subtraction Property of Equality?

Back

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

Tags

CCSS.HSA.REI.A.1

Front

What is the Addition Property of Equality?

Back

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

Tags

CCSS.HSA.REI.A.1

Front

What is the Division Property of Equality?

Back

If a = b and c ≠ 0, then a/c = b/c.

Tags

CCSS.HSA.REI.A.1

Front

What is the Multiplication Property of Equality?

Back

If a = b, then ac = bc for any number c.

Tags

CCSS.HSA.REI.A.1

Front

What is the Reflexive Property?

Back

For any number a, a = a.

Tags

CCSS.7.EE.A.1

Front

What is the Symmetric Property?

Back

If a = b, then b = a.

Tags

CCSS.7.EE.A.1

Front

What is the Transitive Property?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the Substitution Property?

Back

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

Front

Example of Subtraction Property of Equality: Solve 25 + d = 36. What is d?

Back

d = 36 - 25 = 11.

Tags

CCSS.6.EE.B.7

Front

Example of Addition Property of Equality: Solve y - 12 = 30. What is y?

Back

y = 30 + 12 = 42.

Tags

CCSS.6.EE.B.7