Properties of Proofs

Front

What does the Symmetric Property say?

Back

If x=8, then 8=x.

Front

What property is being used when you can replace a variable with its equal value?

Back

Substitution Property.

Front

Fill in the statement for 2: ZA + AN = ?

Back

ZN.

Front

Name the Property that the statement illustrates: If BC=XY and XY=10 then BC=?

Back

10 (Transitive Property).

Front

Which property is being used when you add the same value to both sides of an equation?

Back

Addition Property.

Front

What does the Reflexive Property state?

Back

Any quantity is equal to itself (e.g., a = a).

Front

What is the Transitive Property?

Back

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

Front

What does the Distributive Property state?

Back

a(b + c) = ab + ac.

Front

What is the definition of the Addition Property of Equality?

Back

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

Front

What is the definition of the Subtraction Property of Equality?

Back

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