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 math's 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.2
A 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
C
B
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).
BA
OB=RADIUS
AB=DIAMETER< 2 X RADIUS >
INTERIOR
EXTERIOR
CHORD
C 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.
Basic geometrical ideas class vi

Basic geometrical ideas class vi

  • 2.
  • 3.
    What is Geometry????!!!?? Geometry isthe branch of mathematics which deals with the properties and relations of lines , angles , surfaces and solids. Just as math's deals with numbers, geometry deals with figures , points and lines…..
  • 4.
    A point isusually 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
  • 5.
    A line isstraight 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.2 A B
  • 6.
    A ray isa part of a line, which has one end point, and extends indefinitely on the other side<see fig.1> A
  • 7.
    A plane isa flat surface that extends indefinitely in all directions. The surface of the wall is an example of a plane.<see fig.1>. Fig.1
  • 8.
    An angle isformed 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
  • 9.
    A C B A triangle isa 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
  • 10.
    A quadrilateral isa 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.
  • 11.
    . o A circles aset of points on a plane which are at the same distance from a fixed point called centre (O). BA OB=RADIUS AB=DIAMETER< 2 X RADIUS > INTERIOR EXTERIOR CHORD C D E CED is the minor arc and CSD is The major arc. S
  • 12.
    LEARNING OUTCOMES Students willbe able to *understand the concept of a point, line, line-segment, ray, plane, angle, triangle, quadrilateral, circle. *apply the knowledge in different situations.