Segment Proofs

Front

What is the Definition of Midpoint?

Back

A midpoint of a segment is the point that divides the segment into two equal parts.

Front

What does the Segment Addition Postulate state?

Back

If point O is between points F and X, then FO + OX = FX.

Front

What is the Transitive Property?

Back

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

Front

What is the Reflexive Property?

Back

For any segment AB, AB is congruent to AB.

Front

What is the Substitution Property?

Back

If two quantities are equal, one can be substituted for the other in any expression.

Front

What is the Addition Property?

Back

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

Front

What is the Symmetric Property?

Back

If a = b, then b = a.

Front

What is the Definition of Congruent Segments?

Back

Segments that have the same length are called congruent segments.

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 is the Vertical Angles Theorem?

Back

Vertical angles are congruent.