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welcome to The world of technology ______________________________ In MATHEMATICS.

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Presentation on theme: "welcome to The world of technology ______________________________ In MATHEMATICS."— Presentation transcript:

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2 welcome to The world of technology ______________________________ In MATHEMATICS

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4 Rotational Symmetry © 2007 All rights reserved 5 7 2 1

5 Rotational Symmetry All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as its order. Order 1 Order 2 Order 3 Order 4 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.

6 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 0 Order 1

7 Rotational Symmetry Order 1 1 2 Order 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 360 0

8 Rotational Symmetry Order 1 1 2 Order 2 1 2 3 Order 3 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 0

9 Rotational Symmetry Order 1 1 2 Order 2 1 2 3 Order 3 1 2 3 4 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 0.

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

11 1 2 3 4 5 What is the order of rotational symmetry of the shape below? Order 5 Rotational Symmetry

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

13 1 2 3 4 5 What is the order of rotational symmetry of the shape below? Order 6 Rotational Symmetry 6

14 Equilateral Triangle An equilateral triangle has rotational symmetry of order ?

15 Equilateral Triangle An equilateral triangle has rotational symmetry of order ?

16 Equilateral Triangle An equilateral triangle has rotational symmetry of order ? 12 3 3

17 Square A square has rotational symmetry of order ? Square

18 A square has rotational symmetry of order ?

19 Square A square has rotational symmetry of order ? 12 3 4 4

20 Pentagon Regular Pentagon A regular pentagon has rotational symmetry of order ?

21 Regular Pentagon A regular pentagon has rotational symmetry of order ?

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

23 Hexagon Regular Hexagon A regular hexagon has rotational symmetry of order ?

24 Regular Hexagon A regular hexagon has rotational symmetry of order ?

25 1 2 3 4 5 6 Regular Hexagon A regular hexagon has rotational symmetry of order ? 6

26 Regular Octagon A regular octagon has rotational symmetry of order ? Octagon

27 1 2 3 4 5 6 Regular Octagon A regular octagon has rotational symmetry of order ? 8 7 8

28 Rectangle A rectangle has rotational symmetry of order ?

29 2 1 2 Rectangle A rectangle has rotational symmetry of order ?

30 Parallelogram A parallelogram has rotational symmetry of order ?

31 2 1 2 Parallelogram A parallelogram has rotational symmetry of order ?

32 Isosceles Triangle An isosceles triangle has rotational symmetry of order ?

33 1 1 Isosceles Triangle An isosceles triangle has rotational symmetry of order ?

34 Scalene Scalene Triangle An scalene triangle has rotational symmetry of order ?

35 1 1 Scalene Triangle An scalene triangle has rotational symmetry of order ?

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

37 1 1 Isosceles Trapezium An isosceles trapezium has rotational symmetry of order ?

38 Trapezium A trapezium has rotational symmetry of order ?

39 1 1 Trapezium

40 A kite has rotational symmetry of order ? Kite

41 1 1 A kite has rotational symmetry of order ? Kite

42 Rhombus A rhombus has rotational symmetry of order ? Rhombus

43 2 1 A rhombus has rotational symmetry of order ? Rhombus 2

44 Ellipse An ellipse has rotational symmetry of order ? Ellipse

45 2 1 An ellipse has rotational symmetry of order ? Ellipse 2

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

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

48 Now..it’s the time for… Now..it’s the time for… To ignite your minds.. To ignite your minds..

49 @ 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

50 Worksheet 1 Rotational Symmetry State the order of rotational symmetry for each shape below: 1 2 34 56 7 8 9 10

51 Worksheet 2 Rotational Symmetry State the order of rotational symmetry for each shape below: 13 14 15 16 17 18 1920 11 12

52 Credits & Acknowledges ! The master trainer. Mr. N. Uma Srinivas MS Office MS Encarta www.whiteboardmath.com www.teachingideas.com www.pppst.com Perspector panel VIPS Knowledge Centre.


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