Geometry 3.5-3.6 proofs

Front

What is the Segment Addition Postulate?

Back

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

Front

What does the Addition Property of Equality state?

Back

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

Front

What is the Substitution Property?

Back

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

Front

What is the Transitive Property of Equality?

Back

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

Front

What is the purpose of a proof in geometry?

Back

To provide a logical argument that demonstrates the truth of a statement.

Front

What is a given in a proof?

Back

Information that is accepted as true without proof.

Front

What is a conclusion in a proof?

Back

The statement that is proven based on the given information and logical reasoning.

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 that is accepted as true without proof.

Front

What is a counterexample?

Back

An example that disproves a statement or proposition.