Segment proofs

Front

What is the Reflexive Property?

Back

For any segment AB, AB = AB. This property states that a segment is equal to itself.

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 definition of a midpoint?

Back

A midpoint of a segment is the point that divides the segment into two congruent segments.

Front

What is the difference between a theorem and a postulate?

Back

A postulate is a statement that is assumed true without proof while a theorem is a true statement that can be proven.

Front

If B is the midpoint of segment AC, what can we conclude about segments AB and BC?

Back

AB = BC, meaning they are congruent.

Front

What is the Symmetric Property?

Back

If segment AB = segment CD, then segment CD = segment AB.

Front

What is the Transitive Property?

Back

If segment AB = segment CD and segment CD = segment EF, then segment AB = segment EF.

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 definition of congruent segments?

Back

Segments that have the same length are called congruent segments.

Front

What is the Complement Theorem?

Back

If two angles are complementary to the same angle, then they are congruent.