2.7-2.8 Proof Properties

Front

What is the Segment Addition Postulate?

Back

If point B is between points A and C, then AB + BC = AC.

Front

What is the Transitive Property?

Back

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

Front

What is the Substitution Property?

Back

If a = b, then b can be substituted for a in any expression.

Front

What is the Addition Property of Equality?

Back

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

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the Multiplication Property of Equality?

Back

If a = b, then a * c = b * c for any c.

Front

What is the Division Property of Equality?

Back

If a = b and c ≠ 0, then a / c = b / c.

Front

What does a proof always start with?

Back

Given Statement(s).

Front

What is a theorem?

Back

A statement that has been proven based on previously established statements.

Front

What is a postulate?

Back

A statement accepted as true without proof.