Symmetry Presention By Disha

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Symmetry Presention By Disha

  1. 1. Symmetry
  2. 2. Contents <ul><li>Slide Slide no. </li></ul><ul><li>What is Symmetry? 3 </li></ul><ul><li>Symmetry 4 </li></ul><ul><li>Common Errors 5 </li></ul><ul><li>Letters & Line Symmetry 6 </li></ul><ul><li>Letters & Rotational Symmetry 7 </li></ul><ul><li>Nature & Line Symmetry 8 </li></ul><ul><li>Road Signs & Symmetry 9 </li></ul><ul><li>Monuments & Symmetry 10 </li></ul><ul><li>Flags & Line symmetry 11 </li></ul><ul><li>Flags & Rotational Symmetry 12 </li></ul><ul><li>Math Symbols & Symmetry 13 </li></ul><ul><li>Tattoos & Line Symmetry 14 </li></ul><ul><li>Religious Symbols & Symmetry 15 </li></ul><ul><li>Words & Rotational Symmetry 16 </li></ul><ul><li>Objects & Symmetry 17 </li></ul><ul><li>Line Symmetry 18 </li></ul><ul><li>Revision of What we have done 19 </li></ul><ul><li>The End 20 </li></ul>
  3. 3. <ul><li>An image has Rotational Symmetry if there is a center point around which the object is turned a certain number of degrees and the object still looks the same. </li></ul>Wh at is Sy mme try ? an equilateral triangle has 3 internal angles,3 lines of symmetry & a rotational symmetry at order 3.  a square has 4 internal angles, 4 lines of symmetry & a rotational symmetry at order 4.   a regular pentagon has 5 internal angles,5 lines of symmetry & a rotational symmetry at order 5.   a regular hexagon has 6 internal angles,6 lines of symmetry & a rotational symmetry at order 6.  a regular octagon has 8 internal angles,8 lines of symmetry & a rotational symmetry at order 8.  A shape has line symmetry when one half of it is the mirror image of the other half.
  4. 4. Sy mm et ry Order of Rotation 2 4 Lines of symmetry 2 1
  5. 5. <ul><li>There are some examples of shapes that are tricky when considering symmetry. A typical parallelogram actually cannot be folded in half even though it appears to have two 'equal halves'. </li></ul><ul><li>We can see both kinds of symmetry around us; rotational as well as line symmetry. </li></ul><ul><li>Lets see some of the interesting topics related to symmetry. </li></ul>Common Errors
  6. 6. Letters and Line Symmetry. A B C D E F G J K L N P Q S Z H I M O T U V W X Y There are some letters which do not have any line of symmetry.
  7. 7. H N S X I O Z rotational symmetry at order 1 rotational symmetry at order 2 rotational symmetry at order 2 rotational symmetry at order 2 rotational symmetry at order 2 rotational symmetry at order 2 rotational symmetry at order 1 Letters and Rotational Symmetry.
  8. 8. <ul><li>This flower has 1 line of symmetry and a rotational symmetry of Order 5 as it matches itself 5 times. </li></ul>Nature & Line Symmetry.
  9. 9. Road Signs & Symmetry. Order 4+4 lines of symmetry Order 3+0 line of symmetry. Order 2+0 line of symmetry. Order 3+0 lines of symmetry. Order 2+1 line of symmetry. Order 1+1 line of symmetry.
  10. 10. Monu ments & Symm etry . Symmetry exists in architecture all around the world.  One of the best known examples of this is the Taj Mahal. If an object is reflected in water many people believe the image has line symmetry. But is it really a 'mirror image'? Is it really symmetrical? What are your thoughts? The image can be rotational symmetry.
  11. 11. Flags & Line Symmetry. Indonesia Japan Finland Micronesia Aboriginal Flag of Australia United Nations British Canada
  12. 12. Flags and Rotational Symmetry. Rotational symmetry-yes(2) Rotational symmetry-yes(2) Rotational symmetry-yes(1) Rotational symmetry-yes(1) Rotational symmetry-yes(2) Rotational symmetry-yes(1) Rotational symmetry-yes(1) Rotational symmetry-yes(1)
  13. 13. Math symbols & Symmetry. - x -
  14. 14. Masks, tattoos & Symmetry.
  15. 15. The Memorah is used during the Jewish feast of Chanukah. The Dharma Wheel is a Buddhist  symbol.  Muslim buildings often have symmetry. The Jewish Star of David. The Christian Cross L.S-1  R.S-0 L.S-4 R.S-0 L.S-1 R.S-8 L.S-6 R.S-6 L.S-1 R.S-0 Religious Symbols & Symmetry. L.S-Line of Symmetry R.S-Rotational Symmetry
  16. 16. Words & rotational symmetry.
  17. 17. Objects & Rotational Symmetry. Order 5 <ul><li>Often the picture cards in a playing deck have rotational symmetry. </li></ul><ul><li>Since all the toppings are placed so evenly, this pizza has rotational symmetry of Order 6. </li></ul>Order 7 Order 2
  18. 18. <ul><li>Click on the shapes to see how many lines of symmetry they have . </li></ul>1 line of symmetry 2 lines of symmetry 4 lines of symmetry More lines of symmetry
  19. 19. Revision of what we just did. <ul><li>Objects with either line symmetry or rotational symmetry or both. </li></ul>Kenya Brazil R. L+R R . R+L R+L R+L R+L R+L R+L R R+L
  20. 20. Done by: Disha Shahani Thank you for watching my presentaion.

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