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Understanding Rotational Symmetry in 2D Shapes

Learn about the concept of rotational symmetry and how it is determined by the order of symmetry in different 2D shapes.

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Understanding Rotational Symmetry in 2D Shapes

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  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 Parallelogram A parallelogram has rotational symmetry of order ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  42. Rotational Symmetry State the order of rotational symmetry for each shape below: Questions 1 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

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

  44. Rotational Symmetry State the order of rotational symmetry for each shape below: Questions 2 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

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

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