Segment Proofs

The Reflexive Property states that any quantity is equal to itself, i.e., for any segment AB, AB = AB.

The Midpoint of a segment is the point that divides the segment into two equal parts.

If B is the midpoint of segment AC, then AB = BC.

The Symmetric Property of Congruence states that if segment AB is congruent to segment CD, then segment CD is congruent to segment AB.

Properties of equality are used to justify steps in mathematical proofs and to show that two expressions are equal.

The Transitive Property of Equality states that if a = b and b = c, then a = c.

The Addition Property of Equality states that if a = b, then a + c = b + c for any c.

The Subtraction Property of Equality states that if a = b, then a - c = b - c for any c.

Congruent segments are segments that have the same length.

Segment addition states that if point B is between points A and C, then AB + BC = AC.