Segment Proofs

Front

What is the Segment Addition Postulate?

Back

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

Front

What does it mean for a point to be a midpoint?

Back

A midpoint divides a segment into two equal parts.

Front

If B is the midpoint of segment AC, what can we conclude?

Back

AB = BC.

Front

What is the Definition of Congruent Segments?

Back

Two segments are congruent if they have the same length.

Front

What is the Definition of Midpoint?

Back

A point that divides a segment into two equal segments.

Front

What is the Addition Property in geometry?

Back

If equals are added to equals, the sums are equal.

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 Transitive Property?

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 is the Vertical Angles Theorem?

Back

Vertical angles are congruent.