Points, Lines and Curves (Learn) : Mathematics : Class 6 : Amrita Vidyalayam eLearning Network
Lines, line segments, and rays are all second and third grade math A line is defined as an infinite set of points forming a straight path, A ray is a part of line that has only one endpoint, and extends indefinitely in one direction. second grade math skill vocabulary words such as intersect and parallel. Definitions and diagrams of basic geometrical concepts, such as lines, line segments, and rays. A line is a set of points extends in two opposite directions without end. A line is one-dimensional and has An angle is the union of two rays having the same endpoint. Parallel Lines: two coplanar lines that do not intersect. Undefined Terms – Words/items that are only explained using examples or descriptions. Intersection – The set of points that two or more geometric figures have in common. Ray – A part of a line that has one endpoint and extends indefinitely in one direction. Edge – The line segments where the faces intersect.
Examples of a ray are: Beam of light from a light house, ray of light from a torch, sun rays. A ray is named using two capital letters. The first capital letter is the starting point of the ray and the second capital letter tells the direction in which the ray is moving. For example, if a line from M to N is extended endlessly in the direction of N, then we get a ray, MN. It is denoted by and can be read as ray MN.
Plane A plane is said to be a very thin flat surface that does not have any thickness, and is limitless. For example, this sheet is said to plane PQR. An infinite number of points can be contained within a plane. Intersecting Lines If two lines pass through a point, then we say that the two lines intersect at that point. If two lines have one common point, they are called intersecting lines.
Lines, Line Segments and Rays
More than two lines can also intersect at one point. Examples of intersecting lines are: For example, two lines pass though point P. These two lines are called intersecting lines. Parallel Lines Line segments which will not meet, however far they are extended are called parallel lines or non- intersecting lines. Parallel lines never meet, cut or cross each other. Examples of parallel lines are: In the figure, it can be observed that two lines are parallel.
Curves Curves can be defined as figures that flow smoothly without a break. A line is also a curve, and is called a straight curve. Curves that do not intersect themselves are called simple curves. The end points join to enclose an area. Such curves are called closed curves. For example, Fig iiiv and vi are simple curves, whereas iii and vii are closed curves. Position in a closed curve A court line in a tennis court divides it into three parts: You cannot enter inside without crossing the line.
In a closed curve, thus, there are three parts. From the below figures lets find out the position of the point P with respect to the circle. Interior of the curve.
Ray in Geometry
A ray extends indefinitely in one direction, but ends at a single point in the other direction. That point is called the end-point of the ray. Note that a line segment has two end-points, a ray one, and a line none. An angle can be formed when two rays meet at a common point. The rays are the sides of the angle. The point of the end of two rays is called the vertex. Plane[ edit ] A point exists in zero dimensions. A line exists in one dimension, and we specify a line with two points.
A plane exists in two dimensions. We specify a plane with three points. Any two of the points specify a line. All possible lines that pass through the third point and any point in the line make up a plane. In more obvious language, a plane is a flat surface that extends indefinitely in its two dimensions, length and width.
A plane has no height. Space[ edit ] Space exists in three dimensions.What are Rays, Lines and Line Segments?
Space is made up of all possible planes, lines, and points. It extends indefinitely in all directions.