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CLASS VI What is Geometry????!!!?? Geometry is the branch of mathematics which deals with the properties and relations of lines , angles , surfaces and solids. Just as maths deals with numbers, geometry deals with figures , points and lines….. A point is usually represented by a small dot and is name by a single capital letter of alphabet<see fig.1>.It has no magnitude i.e. has no length, breadth or thickness. Fig.1 Line- A line is straight and extends indefinitely on both sides<see fig.1>. Fig.1 Line segment- A part of a line is called a line segment.<see fig.2>. A Fig.2 B A ray is a part of a line, which has one end point, and extends indefinitely on the other side<see fig.1> A A plane is a flat surface that extends indefinitely in all directions. The surface of the wall is an example of a plane.<see fig.1>. Fig.1 A B O An angle is formed by two rays starting from the same initial point. The initial point O is called the vertex. Rays OA and OB are called the arms of the angle. ALTITUDE A O N 1.Three sides AB,BC and CA. INTERIOR B D EXTERIOR A triangle is a three sided closed figure, formed by three line segments intersect in pairs. A,B and C are known as the vertices (singular vertices) of the triangle. A triangle has:- C 2.Three angles <A,<B and <C. 3.Three vertices A, B & C BC & AD are opposite sides. B C A D A quadrilateral is a four sided figure. ’ Quadri ’ means four, and ‘ lateral ‘ means sides. If A,B,C and D are four points in a plane such that no three of them are collinear and the line segments AB,BC,CD and DA do not intersect except at their end-points, then the figure formed by these four line segments is called the quadrilateral ABCD. ADJACENT SIDES E C CHORD . A o S D B A circles a set of points on a plane which are at the same distance from a fixed point called centre (O). OB=RADIUS AB=DIAMETER< 2 X RADIUS > INTERIOR EXTERIOR CED is the minor arc and CSD is The major arc. LEARNING OUTCOMES Students will be able to *understand the concept of a point, line, line-segment, ray, plane, angle, triangle, quadrilateral, circle. *apply the knowledge in different situations.