segment
In mathematics, a segment refers to a part of a line that is bounded by two distinct endpoints
In mathematics, a segment refers to a part of a line that is bounded by two distinct endpoints. These endpoints can be either points or vertices. A segment is considered as the shortest distance between two points on a line.
Segments are typically labeled with two capital letters, such as AB or CD, to indicate the two endpoints that bound the segment. The notation AB denotes the segment that starts at point A and ends at point B.
Segments can also have specific names based on their lengths. For example, a segment with equal lengths of its endpoints is known as a congruent segment, represented as AB ≅ CD. On the other hand, a segment that divides a line into two equal parts is called a midpoint or a bisector.
It’s important to note that a segment has a definite length, and it does not extend infinitely in both directions like a line does. In geometry, segments are extensively used in various theorems, proofs, and constructions to establish relationships and solve problems involving lines and angles.
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