What is a line segment in geometry What is a line segment in geometry In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its end points. Examples of line segments include the sides of a triangle or square. More generally, when the end points are both vertices of a polygon, the line segment is either an edge (of that polygon) if they are adjacent vertices, or otherwise a diagonal. When the end points both lie on a curve such as a circle, a line segment is called a chord (of that curve). quivalently, a line segment is the convex hull of two points. Thus, the line segment can be expressed as a convex combination of the segment's two end points. In geometry, it is sometimes defined that a point B is between two other points A and C, if the distance AB added to the distance BC is equal to the distance AC. Thus the equation of a line segment with endpoints A = (ax, ay) and C = (cx, cy). A line segment is one-dimensional. It has a measurable length, but has zero width. If you draw a line segment with a pencil, examination with a microscope would show that the pencil mark has a measurable width. The pencil line is just a way to illustrate the idea on paper. In geometry however, a line segment has no width.
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Naming of line segments Line segments are commonly named in two ways: 1. By the endpoints. In the figure above, the line segment would be called PQ because it links the two points P and Q. Recall that points are usually labelled with single upper-case (capital) letters. There is a symbol for this which looks like PQ. This is read as "line segment PQ". The bar over the two letters indicates it is a line segment, rather than a line, which goes on forever in both directions. 2.
By a single letter. The segment above would be called simply "y". By convention, this is usually a single lower case (small) letter. This method is often used in the naming the sides of triangles and other polygons.
Coordinate Geometry In another branch of mathematics called coordinate geometry, the points that define a line are located on the plane using their coordinates - two numbers that show where the point is positioned. For more on this, see Definition of a Line Segment (Coordinate Geometry). If we know the coordinates of the two endpoints of a line segment, we can calculate the distance between them, and so find the length of the line segment. See Distance between two points (coordinate geometry). A line has no beginning point or end point. Imagine it continuing indefinitely to both directions. We can illustrate that by little arrows on both ends. Learn More :- Recursion definition
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In each picture the angle keeps getting bigger. The arc of the circle is larger. The angle is opened more and more. These angles are acute angles, which means they are less than a right angle. Think of the acute angles as sharp angles. If someone stabbed you with the vertex of the angle, it would be sharp.This angle is called the zero angle. The angle is opened even more and is bigger than the right angle. It is an obtuse angle. Obtuse angles are dull angles.This angle is called the right angle.For example, table corners are right angles. A line is a group of points on a straight path that extends to infinity.Any two points on the line can be used to name it. This line is called line DE. A line segment is a part of a line that has two end points. The two end points of the line segment are used to name the line segment. This line segment is called segment XY. A ray is part of a line. It has one end point and extends to infinity in one direction. A ray is named starting with its end point first and then any other point on the ray second.
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