Symmetry is present in many areas of everyday life such as art, architecture, textiles, car manufacturing, and rangoli. There are three main types of symmetry: line symmetry, rotational symmetry, and mirror reflection. Line symmetry occurs when a line can be drawn to divide a figure into two identical halves. The number of lines of symmetry an object has can be zero, one, two, or multiple. Rotational symmetry is when an object looks the same after being rotated around a fixed center point. The angle of rotation and number of rotations before the object looks the same again determine its rotational symmetry.

1. topic:

2. SYMMETRY HAS PLENTY OF
APPLICATIONS IN EVERYDAY LIFE AS
IN ART, ARCHITECTURE, TEXTTILE
TECHNOLOGY, CAR MANUFACTURES,
RANGOLI ETC.
Introduction

3. SYMMETRY
Line Symmetry
Rotatinol Symmetry
Mirror Reflecation

4. A FIGURE HAS LINE SYMMETRY IF
A LINE CAN BE DRAWN DIVIDING
THE FIGURE INTO TWO
IDENTICAL PARTS. THE LINE IS
CALLED A LINE OF SYMMETRY. A
FIGURE MAY HAVE NO LINE OF
SYMMETRY, ONLY ONE OF
SYMMETRY, TWO LINES OF
SYMMETRY OR MULTIPLE LINES
OF SYMMETRY.
Line Symmetry

7. Line
Symmetry

15. Equilateral triangle
Square
Rectangle
Find number of lines of symmetry ?

16. Isosceles
triangle
Circle
Scalene
triangle

17. Rotational Symmetry
If, after a rotation, an object looks exactly the same,
we say that it has a rotational symmetry.
• This fixed point is the centre of rotation .
• The angle by which the object rotates is the angle of
rotation.
• A half-turn means rotation by 180 degree; a quarter-
turn means rotation by 90 degree. Rotation may be
clockwise or anticlock wise.
• In a complete turn ( of 360 degree ), the number of
times an object looks exactly the same is called the
order of rotational symmetry.