Segment Proofs

Front

What is the definition of a midpoint?

Back

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

Front

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

Back

AB = BC.

Front

What does the Segment Addition Postulate state?

Back

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

Front

What is the Reflexive Property of Congruence?

Back

For any segment AB, AB is congruent to itself (AB ≅ AB).

Front

What is the Symmetric Property of Congruence?

Back

If segment AB is congruent to segment CD, then segment CD is congruent to segment AB.

Front

What is the Transitive Property of Equality?

Back

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

Front

What is the Substitution Property of Equality?

Back

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

Front

What is the definition of congruent segments?

Back

Segments that have the same length are called congruent segments.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two congruent angles.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are congruent.