Rotational Symmetry

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

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 2 Order 1 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 2 Order 1 3 3 4 2 1 1 2 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 2 3 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 ?

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

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

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

14. Square A square has rotational symmetry of order ?

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

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

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

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

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

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 1 4 2 3

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

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

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

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

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

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

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

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

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

33. Isosceles Trapezium 1 An isosceles trapezium has rotational symmetry of order ? 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 ? Ellipse 2 1