1. Rotational Symmetry 5 7 2 1

2. Rotational Symmetry
All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as its order.
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.
PowerPoint XP or above is needed to view the rotations on this presentation.
Order 1
Order 2
Order 3
Order 4

3. 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 2 1
Order 1
Order 2 3 3 4 2 1 2 1
Order 4
Order 3

4. Rotational Symmetry 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 1
Order 1
Order 2 3 2 1
Order 3

5. Rotational Symmetry
What is the order of rotational symmetry of the shape below?

6. Rotational Symmetry
What is the order of rotational symmetry of the shape below? 5 4 1 3 2
Order 5

7. Rotational Symmetry
What is the order of rotational symmetry of the shape below?

8. Rotational Symmetry
What is the order of rotational symmetry of the shape below? 6 5 1 2 4 3
Order 6

9. Equilateral Triangle
An equilateral triangle has rotational symmetry of order ?

10. Equilateral Triangle
An equilateral triangle has rotational symmetry of order ?

11. This shape has rotational symmetry every 120 degrees.
Equilateral Triangle
An equilateral triangle has rotational symmetry of order ? 3 3 2 1
This shape has rotational symmetry every 120 degrees.

12. Square
A square has rotational symmetry of order ?
Square

13. Square
A square has rotational symmetry of order ?

14. A square has rotational symmetry every 90 degrees.
A square has rotational symmetry of order ? 4 3 4 2 1
A square has rotational symmetry every 90 degrees.
360 ÷4 = 90

15. Pentagon Regular Pentagon
A regular pentagon has rotational symmetry of order ?
Pentagon

16. Regular Pentagon
A regular pentagon has rotational symmetry of order ?

17. Regular Pentagon
A regular pentagon has rotational symmetry of order ? 5 5 4 1 3 2
A regular pentagon has rotational symmetry 5 times degrees divide by 5 means it matches up every 72 degrees.

18. Hexagon Regular Hexagon
A regular hexagon has rotational symmetry of order ?
Hexagon

19. Regular Hexagon
A regular hexagon has rotational symmetry of order ?

20. The hexagon has rotational It has symmetry eveyy 60 degrees
Regular Hexagon
A regular hexagon has rotational symmetry of order ? 6 5 6
The hexagon has rotational
Symmetry 6 times ÷6.
It has symmetry eveyy 60 degrees 4 1 3 2

21. Octagon Regular Octagon
A regular octagon has rotational symmetry of order ?
Octagon

22. Regular Octagon 8 A regular octagon has rotational symmetry of order ?7 8
The regular octagon has 8 points of rotational symmetry. It matches up 360÷8 or every 45 degrees ! 6 1 5 2 4 3

23. Rectangle
A rectangle has rotational symmetry of order ?
Rectangle

24. Rectangle 2 A rectangle has rotational symmetry of order ? 2 1
This rectangle is not a regular polygon. It will show rotational symmetry only twice degrees÷2 every 180 degrees

25. Parallelogram Parallelogram
A parallelogram has rotational symmetry of order ?
Parallelogram

26. Parallelogram 2 A parallelogram has rotational symmetry of order ? 2 1
How many degrees must this parallelogram rotate before it shows symmetry?

27. Isosceles Triangle
An isosceles triangle has rotational symmetry of order ?

28. Isosceles Triangle 1
An isosceles triangle has rotational symmetry of order ? 1

29. Scalene Scalene Triangle
An scalene triangle has rotational symmetry of order ?
Scalene

30. Scalene Triangle 1
An scalene triangle has rotational symmetry of order ? 1

31. Isos Trapezium Isosceles Trapezoid
A isocelese trapezoid has rotational symmetry of order ?
Isos Trapezium

32. Isosceles Trapezium
An isosceles trapezioid has rotational symmetry of order ? 1 1
Since there is no symmetry until it has rotated the entire 360 degrees, the order of symmetry is one.

33. Trapezium Right Trapezoid
A trapezium has rotational symmetry of order ?
Trapezium

34. Right Trapezoid 1 A right trapezoid has rotational symmetry of order ?

35. Kite
A kite has rotational symmetry of order ?
Kite

36. Kite 1
A kite has rotational symmetry of order ? 1
Kite

37. Rhombus
A rhombus has rotational symmetry of order ?
Rhombus

38. Rhombus 2
A rhombus has rotational symmetry of order ? 2 1

39. Ellipse
An ellipse has rotational symmetry of order ?
Ellipse

40. Ellipse 2
An ellipse has rotational symmetry of order ? 1 2
Ellipse

41. Rotational Symmetry
State the order of rotational symmetry for each shape below: 1 2 3 4
Order 6
Order 2
Order 3
Order 2 5 6 7 8
Order 1
Order 3
Order 2
Order 5 9 10 11 12
Order 4
Order 1
Order 6
Order 8

42. Rotational Symmetry
State the order of rotational symmetry for each shape below: 13 14 15 16
Order 4
Order 1
Order 2
Order 5 17 18 19 20
Order 2
Order 4
Order 6
Order 3 21 22 23 24
Order 5
Order 4
Order 3
Order 1

43. Now..it’s the time for…
The
POWER-TEST
To ignite your minds..

44. Evaluation @ 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

45. Worksheet 1 Rotational Symmetry
State the order of rotational symmetry for each shape below: 1 2 3 4 5 6 7 8 9 10
Worksheet 1

46. Worksheet 2 Rotational Symmetry
State the order of rotational symmetry for each shape below: 11 12 13 14 15 16 17 18 19 20
Worksheet 2