Rotational SymmetryAll 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as its order.
Order 1 Order 2 Order 3 Order 4
For shapes that have “order 2” rotational symmetry or higher, a single centre of rotation can be located.
For shapes that have only “order 1” rotational symmetry a centre of rotation can be found anywhere within it.
Rotational Symmetry
The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 3600
Order 1
Rotational Symmetry
Order 11
2
Order 2
The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 3600
Rotational Symmetry
Order 11
2
Order 2
12
3
Order 3
The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 3600
Rotational Symmetry
Order 11
2
Order 2
12
3
Order 312
3 4
Order 4
The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 3600 .
What is the order of rotational symmetry of the shape below?
Rotational Symmetry
1
23
4
5
What is the order of rotational symmetry of the shape below?
Order 5
Rotational Symmetry
What is the order of rotational symmetry of the shape below?
Rotational Symmetry
1
2
3
4
5
What is the order of rotational symmetry of the shape below?
Order 6
Rotational Symmetry
6
Equilateral Triangle
An equilateral triangle has rotational symmetry of order ?
Equilateral Triangle
An equilateral triangle has rotational symmetry of order ?
Equilateral Triangle
An equilateral triangle has rotational symmetry of order ?
12
33
Square
A square has rotational symmetry of order ?
Square
Square
A square has rotational symmetry of order ?
Square
A square has rotational symmetry of order ?
12
3
4
4
Pentagon
Regular Pentagon
A regular pentagon has rotational symmetry of order ?
Regular Pentagon
A regular pentagon has rotational symmetry of order ?
Regular Pentagon
A regular pentagon has rotational symmetry of order ? 5
1
23
4
5
Hexagon
Regular HexagonA regular hexagon has rotational symmetry of order ?
Regular HexagonA regular hexagon has rotational symmetry of order ?
1
23
4
5 6
Regular HexagonA regular hexagon has rotational symmetry of order ? 6
Regular OctagonA regular octagon has rotational symmetry of order ?
Octagon
1
2
34
5
6
Regular OctagonA regular octagon has rotational symmetry of order ? 8
7 8
Rectangle
RectangleA rectangle has rotational symmetry of order ?
2
1
2
RectangleA rectangle has rotational symmetry of order ?
Parallelogram
ParallelogramA parallelogram has rotational symmetry of order ?
2
1
2
ParallelogramA parallelogram has rotational symmetry of order ?
Isosceles TriangleAn isosceles triangle has rotational symmetry of order ?
1
1
Isosceles TriangleAn isosceles triangle has rotational symmetry of order ?
Scalene
Scalene TriangleAn scalene triangle has rotational symmetry of order ?
1
1
Scalene TriangleAn scalene triangle has rotational symmetry of order ?
Isos Trapezium
Isosceles TrapeziumAn isosceles trapezium has rotational symmetry of order ?
1
1
Isosceles TrapeziumAn isosceles trapezium has rotational symmetry of order ?
Trapezium
TrapeziumA trapezium has rotational symmetry of order ?
1
1
A trapezium has rotational symmetry of order ?
Trapezium
A kite has rotational symmetry of order ?
Kite
Kite
1
1
A kite has rotational symmetry of order ?
Kite
Kite
Rhombus
A rhombus has rotational symmetry of order ?
Rhombus
2
1
A rhombus has rotational symmetry of order ?
Rhombus
2
Ellipse
An ellipse has rotational symmetry of order ?
Ellipse
Ellipse
2
1
An ellipse has rotational symmetry of order ?
Ellipse
2
Rotational SymmetryState the order of rotational symmetry for each shape below:
1 2 3 4
5 6 7 8
9 10 11 12
Order 6 Order 2 Order 3 Order 2
Order 1 Order 3 Order 2 Order 5
Order 4 Order 1 Order 6 Order 8
Rotational SymmetryState the order of rotational symmetry for each shape below:
13 14 15 16
17 18 19 20
21 22 23 24
Order 4 Order 1 Order 2 Order 5
Order 2 Order 4 Order 6 Order 3
Order 5 Order 4 Order 3 Order 1
Now..it’s the time for…Now..it’s the time for…
To ignite your minds..To ignite your minds..To ignite your minds..To ignite your minds..
@ First, Observe the given Picture carefully.
@ Try to Imagine the rotation
@ Concentrate on the inner designs also
@ Each question carries ‘1m’ as usual
@ Time limit for each Work sheet is ‘5 min.,’ only
# WRITE ONLY THE ORDER OF ROTATIONAL SYMMETRY IN THE GIVEN BOXES
Worksheet 1
Rotational SymmetryRotational SymmetryState the order of rotational symmetry for each shape below:
1 2 3 4
5 6 7 8
9 10
Worksheet 2
Rotational SymmetryRotational SymmetryState the order of rotational symmetry for each shape below:
13 14
15 16 17 18
19 20
11 12
Credits & Acknowledges !Credits & Acknowledges !
• The master trainer. Mr. N. Uma Srinivas• MS Office• MS Encarta• www.whiteboardmath.com• www.teachingideas.com• www.pppst.com• Perspector panel• VIPS Knowledge Centre.