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Geometry is the study of geometric shapes or figures. All geometric shapes are formed by the connecting of a series of lines. Additionally, lines are collections of points. This interrelationship of points, lines, and shapes adds another dimension of interest to the study of geometric objects. Additionally, the page discusses the same geometrical figures, including details about points, lines, and line segments, as well as their attributes. The purpose of this article is to demonstrate the distinction between a line and a line segment.
Points
Points are the fundamental constituents of geometrical figures. All geometrical constructions depicted thus far are composed of an infinite number of points. Points are two-dimensional structures. They lack length, width, and height. A dot serves as a symbol for the points (.). Additionally, the merging of these dots aids in the creation of a shape.
Lines
A line is an infinite collection of points that extends infinitely on both sides of a plane. Horizontal, vertical, diagonal, oblique, or curved lines are all acceptable. Two parallel lines might be perpendicular or parallel. The lines may be dense or sparse. Additionally, curved lines shift directions.
Different Line Types
You are aware that a line is endless, that it has no beginnings or ends, and that it is always straight. However, it is critical to note that the line can take on a variety of forms. Inform us about the various sorts of lines found in geometry. The four distinct types of lines that you have frequently heard about are as follows:
Horizontal Line – it is a line that goes horizontally from left to right.
Vertical Lines – it is a line that travels vertically from top to bottom.
Perpendicular lines – two straight lines that intersect at a right angle are said to be perpendicular.
Parallel lines – when two lines never intersect or connect, regardless of how many extensions they receive, these two lines are parallel.
Lines have the following properties:
They stretch to infinity in both directions, which means they have an endless length.
They lack endpoints.
A line is a one-dimensional geometric object; it has no thickness or breadth.
At any location, two crossing lines will intersect at a single common point.
Line segments
A line segment is a group of finite points with a fixed length. It has a beginning and an end. It is the smallest distance that may be measured between two places. We can determine the length of the object by using a ruler or an inch scale. A segment of a line is a segment of a line. A line segment AB is shown below.
Any two-dimensional shape is composed of line segments. A few polygons are shown below. As we can see, a triangle is composed of three line segments, a pentagon is composed of five-line segments, and quadrilaterals are composed of four-line segments. The polygons are named according to their number of sides. The sides are constructed entirely of line segments.
Properties of a line segment
A line segment is not a whole line; rather, it is a fractional component of a line having two separate endpoints.
A line segment is defined by its two fixed endpoints.
Because a line segment has definite ends, its length is quantifiable.
A line segment is denoted symbolically by ‘_’ or
Representation
While a line segment is denoted by endpoints at each end, a line in geometry is denoted by a line with arrows at each end. A line segment is distinguished from a line because a line continues indefinitely, whereas a line segment has a distinct beginning and finish.
Difference between a line and a line segment
Contrast the line and the line segment. Knowing them enables us to differentiate them and hence locate them in planar shapes.
Conclusion
A line segment is a section of a line that is defined by two separate points on the line. Alternatively, we might say that a line segment is a section of a line that links two points. While a line has no endpoints and can stretch indefinitely in both directions, a line segment has two defined or distinct endpoints. The distinction between a line segment and a ray is that a ray has a single terminus while a line segment’s opposite end extends indefinitely.
