Write properties of congruent segments.

Properties of congruent segments are as follows:

Equal Lengths: Congruent segments have the exact same length. This means that if two segments are congruent, the distance between their endpoints is equal.

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

Reflexive Property: Any segment is congruent to itself. For example, segment AB is always congruent to segment AB.

Symmetric Property: If segment AB is congruent to segment CD, then segment CD is congruent to segment AB.

Superimposability: Congruent segments can be placed on top of one another such that they align perfectly, with their endpoints matching.

Division and Multiplication: If congruent segments are divided into equal parts, corresponding parts remain congruent. Similarly, if congruent segments are extended by equal lengths, the resulting segments are congruent.

These properties are fundamental in geometry and help establish relationships between segments in geometric proofs and problems.