Therefore, geometery is about how shapes and space (things we see) related to each other.Word geometry is made up of 2 components: "geo" and "metry":.A, B, C are non-collinear.Notes from Khan Academy video Basic geometry: language and labels | Introduction to Euclidean geometry | Geometry | Khan Academy
points A, B, and C lie on the same straight line l, so they are collinear points. If a straight line in a plane contains two points but it does not contain the third point, then these three points are said to be non-collinear. This line is called the line of collinearity. Three or more points are said to be collinear, if they lie on the same line in a plane. If A and B are the two points in a plane, then l 2 becomes the unique line that passes through the points A and B. One and only one line can be drawn passing through two given points in a plane.Lines l 1, l 2, l 3, l 4, …… all pass through a point A. Infinite number of lines can be drawn passing through a given fixed point in a plane.The relationship between a point and a line in a plane is called the incidence property.
give the idea of a plane.Ī plane can be denoted by taking three or more points on it, which do not lie on the same line. The top of a table, top and bottom of a cylinder, surface of a blackboard, etc. It has length and breadth but no thickness. Plane: A plane is a flat smooth surface that extends indefinitely in all directions. and denote it by \(\overleftrightarrow\). (ii) Mark two points (say A and B) on the line as shown in Fig. (i) Denote it by a small letter of the alphabet like line l as shown in Fig. Line (↔): A line is a collection of points, which can be extended endlessly on both the sides. It has just a position and only its location can be determined.Ī point is denoted by a capital letter of the alphabet like A, B, C, etc. Point(.): A point gives an idea of a location, by making a dot by a sharp pencil on a paper. To make these geometrical figures we need to know some basic elements. These are examples of geometrical figures. You are familiar with some terms like triangle, square, cube, cuboid, etc.
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