Rotational Symmetry

1. Rotational Symmetry 7 2 1 5

2. 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.

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 3600 . 2 1 Order 2 Order 1 3 3 4 2 1 1 2 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 2 Order 1 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 2 3 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. Equilateral Triangle 3 An equilateral triangle has rotational symmetry of order ? 3 2 1 This shape has rotational symmetry every 120 degrees.

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

13. Square A square has rotational symmetry of order ?

14. Square 4 A square has rotational symmetry of order ? 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 ?

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

17. Regular Pentagon 5 A regular pentagon has rotational symmetry of order ? 5 4 1 3 2 A regular pentagon has rotational symmetry 5 times. 360 degrees divide by 5 means it matches up every 72 degrees.

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

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

20. Regular Hexagon 6 A regular hexagon has rotational symmetry of order ? 5 6 The hexagon has rotational Symmetry 6 times. 360 ÷6. It has symmetry eveyy 60 degrees 1 4 2 3

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

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

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

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. 360 degrees÷2 every 180 degrees

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

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

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

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

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

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

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 ? Ellipse 2 1

41. Rotational Symmetry State the order of rotational symmetry for each shape below: 1 2 3 4 Order 2 Order 3 Order 6 Order 2 7 5 8 6 Order 5 Order 2 Order 3 Order 1 10 9 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 5 Order 2 Order 4 Order 1 19 17 20 18 Order 3 Order 6 Order 4 Order 2 22 21 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. Rotational Symmetry State the order of rotational symmetry for each shape below: 1 3 4 2 Worksheet 1 7 5 6 8 9 10

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