Line Segments In Geometry: Definition, Representation, And Applications

Line Segment

A measurable part of a line consisting of two endpoints

A line segment is a part of a line that is bounded by two distinct endpoints. It is a straight line that is characterized by its length, which is measured in units of distance. A line segment has a finite length and it is always straight.

In geometry, a line segment is represented by a straight line with two endpoints. It is usually denoted by drawing a line over the two endpoints and placing arrows at each end to signify that it has a definite length and direction.

For example, in the coordinate plane, a line segment can be represented by two points, (x1, y1) and (x2, y2), where x1, y1, x2, and y2 are real numbers. The distance between these two points is the length of the line segment.

Line segments are often used in geometry to solve problems related to distance, area, and volume. They also play an important role in studying geometric shapes such as polygons and polyhedrons.

It is important to note that a line and a line segment are not the same thing. A line continues indefinitely in both directions, while a line segment has a defined start and end point.

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