Segment Addition 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 is the Segment Addition Postulate?

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 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 Congruence?

Back

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

Front

What is the Reflexive Property of Equality?

Back

For any real number a, a = a.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac.

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 a Segment?

Back

A segment is a part of a line that is bounded by two distinct endpoints.