class vi. what is geometry????!!!?? geometry is the branch of mathematics which deals with the...
TRANSCRIPT
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
A line is straight and extends indefinitely on both sides<see fig.1>.
Fig.1
Line-
Line segment-A part of a line is called a line segment.<see fig.2>.
Fig.2A 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
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.
O
A
B
A
CB
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:-
1.Three sides AB,BC and CA.
2.Three angles <A,<B and <C.
3.Three vertices A, B & C
INTERIOR
EXTERIOR
NO
D
ALTITUDE
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.
A D
B C
ADJACENT SIDES
BC & AD are opposite sides.
. o
A circles a set of points on a plane which are at the same distance from a fixed point called centre (O).B A
OB=RADIUSAB=DIAMETER< 2 X RADIUS >
INTERIOR
EXTERIOR
CHORDC D
E
CED is the minor arc and CSD is The major arc.
S
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.