1. 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.
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Order 1
Order 2
Order 3
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 360 degrees.

2. 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 360 degrees.
Order 1

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 360 degrees. 2 1
Order 1
Order 2

4. 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 360 degrees. 2 1
Order 1
Order 2 3 2 1
Order 3

5. 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 360 degrees. 2 1
Order 1
Order 2 3 3 4 2 1 2 1
Order 4
Order 3

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

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

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

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

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

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

12. Equilateral Triangle
An equilateral triangle has rotational symmetry of order ? 3 3 2 1

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

14. Square
A square has rotational symmetry of order ?

15. Square
A square has rotational symmetry of order ? 4 3 4 2 1

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

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

18. Regular Pentagon
A regular pentagon has rotational symmetry of order ? 5 5 4 1 3 2

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

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

21. Regular Hexagon 6 A regular hexagon has rotational symmetry of order ?5 6 4 1 3 2

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

23. Regular Octagon 8 A regular octagon has rotational symmetry of order ?7 8 6 1 5 2 4 3

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

25. Rectangle
A rectangle has rotational symmetry of order ? 2 2 1

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

27. Parallelogram 2
A parallelogram has rotational symmetry of order ? 2 1

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

29. Isos Tri Isosceles Triangle 1
An isosceles triangle has rotational symmetry of order ? 1
Isos Tri

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

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

32. Isos Trapezium Isosceles Trapezium
An isosceles trapezium has rotational symmetry of order ?
Isos Trapezium

33. Isosceles Trapezium
An isosceles trapezium has rotational symmetry of order ? 1 1

34. Trapezium
A trapezium has rotational symmetry of order ?
Trapezium

35. Trapezium 1
A trapezium has rotational symmetry of order ? 1

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

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

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

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

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

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

42. Questions 1 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
Questions 1
Order 4
Order 1
Order 6
Order 8

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

44. Questions 2 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
Questions 2
Order 5
Order 4
Order 3
Order 1

45. Worksheet 2 Rotational Symmetry
State the order of rotational symmetry for each shape below: 13 14 15 16 17 18 19 20 21 22 23 24
Worksheet 2