Properties used in Proofs

Front

What is the Transitive Property?

Back

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

Front

What does the Symmetric Property state?

Back

If a = b, then b = a.

Front

Define the Substitution Property.

Back

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

Front

What is the Reflexive Property?

Back

For any number a, a = a.

Front

Explain the Multiplication Property of Equality.

Back

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

Front

If ∠A = ∠B and ∠B = ∠C, what property is illustrated?

Back

Transitive Property.

Front

If AB = CD, what can we conclude using the Multiplication Property?

Back

6AB = 6CD.

Front

What is an example of the Symmetric Property?

Back

If AC = RS, then RS = AC.

Front

Complete the statement: If DC = 10, then DC + FG = ____.

Back

10 + FG.

Front

What does the Reflexive Property imply about any angle ∠X?

Back

∠X = ∠X.