Symmetry:A Visual Presentation
Symmetry
To be a line of symmetry, theshape must have two halvesthat match exactly.When you trace a heart onto apiece of folded pap...
Line Symmetry   Shape has line symmetry when one half    of it is the mirror image of the other half.   Symmetry exists ...
Is a butterfly symmetrical?
Line Symmetry exists innature but you may not     have noticed.
At the  beach there area variety of shells with line        symmetry.
Under the sea there are also many symmetrical objects   such as these crabs     and this starfish.
Animals that have Line        SymmetryHere are a few more great examples of mirror image in the animal kingdom.
Line Symmetry in the Alphabet Which letters have got lines of symmetry?A B C D E F G H IJ K L M N O P Q RS T U V W X Y Z
Lines of Symmetry all around usWhich of these road signs have got lines of                symmetry?
THESE MASKS HAVE   SYMMETRY       These masks have a line of   symmetry from the forehead to the               chin.    Th...
REFLECTION IN WATER    If an object isreflected in water it  is considered tohave line symmetryalong the waterline.
The Taj MahalSymmetry exists in architecture all around the world.  The best known example of          this is the Taj Mah...
This photograph shows 2 lines of symmetry.One vertical, the other along the waterline.(Notice how the prayer towers, calle...
2D Shapes and Symmetry After investigating the following shapes by cutting and folding,            we found:              ...
an equilateral triangle has 3 internal  angles and 3 lines of symmetry. 
   a square has 4 internal angles and 4          lines of symmetry.                       
  a regular pentagon has 5 internal  angles and 5 lines of symmetry.                   
a regular hexagon has 6 internal angles       and 6 lines of symmetry .
   a regular octagon has 8 internal angles         and 8 lines of symmetry.
How many lines of symmetry to these regular polygons have?                         Do you                         see a   ...
What about these math symbols?         Do they have symmetry?
Which of these flags have aline of symmetry?United States of     CanadaAmerica      Maryland       England
Click thetriangle to               Turning asee rotation               figure around a               point or a           ...
What is Rotational Symmetry? An image has RotationalSymmetry if there is a pointin the image that the image  can be turned...
How do you determine if an   image has rotational        symmetry?1. Trace the image.2. Rotate the image until itmatches u...
Rotational Symmetry isdescribed by identifying the    order of the figure.             This triangle has              an o...
What is    theorder for   this figure?
Rotational Symmetry                                         2                    The order of                    rotationa...
Rotational SymmetryWhat is the order of rotational symmetry of the shape below?
Rotational SymmetryWhat is the order of rotational symmetry of the shape below?                                  5        ...
Rotational SymmetryWhat is the order of rotational symmetry of the shape below?
Rotational SymmetryWhat is the order of rotational symmetry of the shape below?                                  6        ...
Equilateral TriangleAn equilateral triangle has rotational symmetry of order ?
Equilateral TriangleAn equilateral triangle has rotational symmetry of order ?   3                                       3...
Regular PentagonA regular pentagon has rotational symmetry of order ?                   Pentagon
Regular PentagonA regular pentagon has rotational symmetry of order ?
Regular PentagonA regular pentagon has rotational symmetry of order ?       5                                  5          ...
Regular HexagonA regular hexagon has rotational symmetry of order ?   Hexagon
Regular HexagonA regular hexagon has rotational symmetry of order ?
Regular HexagonA regular hexagon has rotational symmetry of order ?       6                        5                      ...
RectangleA rectangle has rotational symmetry of order ?        Rectangle
RectangleA rectangle has rotational symmetry of order ?   2                                                     2         ...
ParallelogramA parallelogram has rotational symmetry of order ?         Parallelogram
ParallelogramA parallelogram has rotational symmetry of order ?   2                                                       ...
Isosceles TriangleAn isosceles triangle has rotational symmetry of order ?
Isosceles TriangleAn isosceles triangle has rotational symmetry of order ?   1                                     1
Scalene TriangleAn scalene triangle has rotational symmetry of order ?         Scalene
Scalene TriangleAn scalene triangle has rotational symmetry of order ?   1                                               1
Isosceles TrapeziumAn isosceles trapezium has rotational symmetry of order ?  Isos Trapezium
Isosceles TrapeziumAn isosceles trapezium has rotational symmetry of order ?   1                                          ...
TrapeziumA trapezium has rotational symmetry of order ?      Trapezium
TrapeziumA trapezium has rotational symmetry of order ?   1                                            1
KiteA kite has rotational symmetry of order ?          Kite
KiteA kite has rotational symmetry of order ?       1                                            1         Kite
Rotational Symmetry    State the order of rotational symmetry for each shape below:1                2                 3   ...
Angle of rotation/order of             rotation Square        90 degree       4 Rectangle     180 degree      2 Equilat...
Reflection    (flip)The result of a figure flipped over a line.
Click on thistrapezoid toseereflection.     The result of a figure flipped over a line.
Which shapes show reflection,  translation, or rotation?
Translation  (Slide)The action of sliding afigure in any direction.
Click the Octagon      to see   Translation.                    The act of sliding a figure in                    any dire...
HOPE YOU ALL ENJOYED.  THANKS
Final symmetry presentation
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Final symmetry presentation

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  • This type of symmetry is also called reflectional symmetry as the two parts reflect/match along each side of a dividing line ( or axis ).
  • In this view of the building there is a line of symmetry through the centre of the tomb from top to bottom. It was completed in 1630 by the Indian ruler Shahs Jahan as a tomb for his favourite wife Mumtaz Mahal who died as a result of giving birth to their 14th child. To build this tomb it took 20 000 workers, 20 years (Encarta 97) and it is rumoured that they used 40 000 elephants to transport the materials.
  • Is there a pattern here?             How could you prove that a square really does have 4 lines of symmetry and not 2.             A rectangle has 4 lines of symmetry. True or False? How could you prove it?             What pattern can you see emerging on this page?
  • Final symmetry presentation

    1. 1. Symmetry:A Visual Presentation
    2. 2. Symmetry
    3. 3. To be a line of symmetry, theshape must have two halvesthat match exactly.When you trace a heart onto apiece of folded paper,and then cut it out, the two halfhearts make a whole heart. The two halves are symmetrical.
    4. 4. Line Symmetry Shape has line symmetry when one half of it is the mirror image of the other half. Symmetry exists all around us and many people see it as being a thing of beauty.
    5. 5. Is a butterfly symmetrical?
    6. 6. Line Symmetry exists innature but you may not have noticed.
    7. 7. At the  beach there area variety of shells with line symmetry.
    8. 8. Under the sea there are also many symmetrical objects such as these crabs and this starfish.
    9. 9. Animals that have Line SymmetryHere are a few more great examples of mirror image in the animal kingdom.
    10. 10. Line Symmetry in the Alphabet Which letters have got lines of symmetry?A B C D E F G H IJ K L M N O P Q RS T U V W X Y Z
    11. 11. Lines of Symmetry all around usWhich of these road signs have got lines of symmetry?
    12. 12. THESE MASKS HAVE SYMMETRY These masks have a line of symmetry from the forehead to the chin. The human face also has a line of symmetry in the same place.
    13. 13. REFLECTION IN WATER If an object isreflected in water it is considered tohave line symmetryalong the waterline.
    14. 14. The Taj MahalSymmetry exists in architecture all around the world.  The best known example of this is the Taj Mahal.
    15. 15. This photograph shows 2 lines of symmetry.One vertical, the other along the waterline.(Notice how the prayer towers, called minarets, are reflected in the water and side to side).
    16. 16. 2D Shapes and Symmetry After investigating the following shapes by cutting and folding, we found:  
    17. 17. an equilateral triangle has 3 internal angles and 3 lines of symmetry. 
    18. 18.    a square has 4 internal angles and 4 lines of symmetry.   
    19. 19.   a regular pentagon has 5 internal angles and 5 lines of symmetry.  
    20. 20. a regular hexagon has 6 internal angles and 6 lines of symmetry .
    21. 21.    a regular octagon has 8 internal angles and 8 lines of symmetry.
    22. 22. How many lines of symmetry to these regular polygons have? Do you see a pattern?
    23. 23. What about these math symbols? Do they have symmetry?
    24. 24. Which of these flags have aline of symmetry?United States of CanadaAmerica Maryland England
    25. 25. Click thetriangle to Turning asee rotation figure around a point or a vertex
    26. 26. What is Rotational Symmetry? An image has RotationalSymmetry if there is a pointin the image that the image can be turned around a certain number of degrees and still look the same.
    27. 27. How do you determine if an image has rotational symmetry?1. Trace the image.2. Rotate the image until itmatches up exactly.3. Continue until you reachyour starting point.
    28. 28. Rotational Symmetry isdescribed by identifying the order of the figure. This triangle has an order of 3 because there are 3 positions where the triangle looks the same.
    29. 29. What is theorder for this figure?
    30. 30. Rotational Symmetry 2 The order of rotational symmetry that an object has is the number of 1 Order times that it fits Order 3 on to itself 2 1 during a full rotation of 36002 1 Order 3
    31. 31. Rotational SymmetryWhat is the order of rotational symmetry of the shape below?
    32. 32. Rotational SymmetryWhat is the order of rotational symmetry of the shape below? 5 4 1 3 Order 2 5
    33. 33. Rotational SymmetryWhat is the order of rotational symmetry of the shape below?
    34. 34. Rotational SymmetryWhat is the order of rotational symmetry of the shape below? 6 5 1 4 2 3 Order 6
    35. 35. Equilateral TriangleAn equilateral triangle has rotational symmetry of order ?
    36. 36. Equilateral TriangleAn equilateral triangle has rotational symmetry of order ? 3 3 2 1
    37. 37. Regular PentagonA regular pentagon has rotational symmetry of order ? Pentagon
    38. 38. Regular PentagonA regular pentagon has rotational symmetry of order ?
    39. 39. Regular PentagonA regular pentagon has rotational symmetry of order ? 5 5 4 1 3 2
    40. 40. Regular HexagonA regular hexagon has rotational symmetry of order ? Hexagon
    41. 41. Regular HexagonA regular hexagon has rotational symmetry of order ?
    42. 42. Regular HexagonA regular hexagon has rotational symmetry of order ? 6 5 6 4 1 3 2
    43. 43. RectangleA rectangle has rotational symmetry of order ? Rectangle
    44. 44. RectangleA rectangle has rotational symmetry of order ? 2 2 1
    45. 45. ParallelogramA parallelogram has rotational symmetry of order ? Parallelogram
    46. 46. ParallelogramA parallelogram has rotational symmetry of order ? 2 2 1
    47. 47. Isosceles TriangleAn isosceles triangle has rotational symmetry of order ?
    48. 48. Isosceles TriangleAn isosceles triangle has rotational symmetry of order ? 1 1
    49. 49. Scalene TriangleAn scalene triangle has rotational symmetry of order ? Scalene
    50. 50. Scalene TriangleAn scalene triangle has rotational symmetry of order ? 1 1
    51. 51. Isosceles TrapeziumAn isosceles trapezium has rotational symmetry of order ? Isos Trapezium
    52. 52. Isosceles TrapeziumAn isosceles trapezium has rotational symmetry of order ? 1 1
    53. 53. TrapeziumA trapezium has rotational symmetry of order ? Trapezium
    54. 54. TrapeziumA trapezium has rotational symmetry of order ? 1 1
    55. 55. KiteA kite has rotational symmetry of order ? Kite
    56. 56. KiteA kite has rotational symmetry of order ? 1 1 Kite
    57. 57. Rotational Symmetry State the order of rotational symmetry for each shape below:1 2 3 4 Order 6 Order 2 Order 3 Order 25 6 7 8 Order 1 Order 3 Order 2 Order 59 10 11 12 Order 4 Order 1 Order 6 Order 8
    58. 58. Angle of rotation/order of rotation Square 90 degree 4 Rectangle 180 degree 2 Equilateral 120 degree 3 Circle nil/no limit nil
    59. 59. Reflection (flip)The result of a figure flipped over a line.
    60. 60. Click on thistrapezoid toseereflection. The result of a figure flipped over a line.
    61. 61. Which shapes show reflection, translation, or rotation?
    62. 62. Translation (Slide)The action of sliding afigure in any direction.
    63. 63. Click the Octagon to see Translation. The act of sliding a figure in any direction.
    64. 64. HOPE YOU ALL ENJOYED. THANKS

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