Final answer:
Segment congruence in mathematics refers to two line segments having the same length, denoted as AB ≅ CD, meaning the length from A to B equals the length from C to D.
Step-by-step explanation:
Segment congruence in mathematics refers to two or more line segments being of equal length. If segments are congruent, it means no matter their position or orientation in space, their lengths are identical. Congruence is denoted using a symbol that resembles an equal sign with a tilde above it (≅).
For example, if segment AB is congruent to segment CD, we write this as AB ≅ CD. This indicates that the measurement from point A to point B is the same as the measurement from point C to point D. Determining segment congruence is a fundamental concept in geometry, often used to prove various geometric theorems and properties.
When dealing with segment congruence, it is also important to remember that this is a property that does not depend on the segments' location or the direction they are facing; it only concerns the aspect of length.