algebraic proofs

Front

What is the Division Property of Equality?

Back

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

Front

What does the Addition Property of Equality state?

Back

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

Front

What is the Subtraction Property of Equality?

Back

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

Front

Define the Reflexive Property of Equality.

Back

For any number a, a = a.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

Explain the Transitive Property of Equality.

Back

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

Front

What is the Angle Addition Postulate?

Back

If point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

What does the Congruent Complements Theorem state?

Back

If two angles are complements of the same angle (or congruent angles), then the two angles are congruent.

Front

If

Back

Front

What is the purpose of algebraic proofs?

Back

To demonstrate the validity of mathematical statements using logical reasoning.