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How to Identify Line Segments

A line is "a breadthless length," according to Euclid, often called the "Father of Geometry. This fundamental geometric form represents the essence of a single dimension, each end continuing in each direction toward infinity. However, in order to work with lines, we need to define manageable portions, called "segments." A line segment is the portion of a straight line that lies between two identifiable points. It has a specific length, and is therefore usually used to represent "linear" distance, or the side of a shape or "polygon."

Instructions

    • 1

      Find the "points" at the end of the line segment you wish to identify. A line segment always falls between two points. Even if it crosses a third point in between, these "bounds" are always the ones that will define or "name" the line.

    • 2

      Write the names of the points next to one another. In abstract space, points are given letter names; therefore, write AB, or whichever letters correspond to the points. If you are working on a number line, or a Cartesian plane, skip to Step 4.

    • 3

      Draw a short, straight line over the letters to denote a line "segment." This will be read, "the line segment bounded by point A and point B," or simply, "segment A-B." You have identified this segment, and you do not need the following steps.

    • 4

      Check to see whether the line includes the points. If your line segment falls on a number line or Cartesian plane, its distance can be measured in discrete units. Some lines include the points they are bounded by, which is indicated by a darkened circle at the point in question, while others exclude them, which is indicated by an open circle.

    • 5

      Identify these segments by the coordinates of the points that bound them. If a line goes from -2 to 2, inclusive, on a number line, then the coordinates are -2 and 2. On a Cartesian plane, the coordinates have two parts: horizontal and vertical. These points may be written "(-2, 2)" and "(2, 3)."

    • 6

      Identify the segment using "greater than" and "less than" signs. If the line segment lies between -2 and 2, exclusive, you can write "-2 < 2." To indicate that the segment is inclusive, you must use a "greater than or equal to" sign, by drawing a line under the "<." If one end (-2) is included and not the other (2), the simplest way to identify the line segment is _> -2 and < 2.

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