Line symmetry

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  •        
  •         How would you define the term 'line symmetry'?         Why might some people see line symmetry as a thing of beauty?
  • This type of symmetry is also called reflectional symmetry as the two parts reflect/match along each side of a dividing line ( or axis ).
  • There are also many examples of symmetry inside the human body e.g. the lungs, the kidneys, the brain, the skull, etc.
  • 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?
  • Line symmetry

    1. 1. Symmetry:Symmetry: A Visual PresentationA Visual Presentation A PowerPoint Presentation created by Mrs. Gamache usingA PowerPoint Presentation created by Mrs. Gamache using thethe collection of web pages created by the Adrian Bruce and studentscollection of web pages created by the Adrian Bruce and students of 6Bof 6B http://www.adrianbruce.comhttp://www.adrianbruce.com
    2. 2. Line SymmetryLine Symmetry  Shape has line symmetry when one halfShape has line symmetry when one half of it is the mirror image of the other half.of it is the mirror image of the other half.  Symmetry exists all around us and manySymmetry exists all around us and many people see it as being a thing ofpeople see it as being a thing of beauty.beauty.
    3. 3. Is a butterfly symmetrical?Is a butterfly symmetrical?
    4. 4. Line Symmetry exists inLine Symmetry exists in nature but you may notnature but you may not have noticed.have noticed.
    5. 5. At the  beach there areAt the  beach there are a variety of shells with linea variety of shells with line symmetry.symmetry.
    6. 6. Under the sea there are alsoUnder the sea there are also many symmetrical objectsmany symmetrical objects such as these crabssuch as these crabs and this starfish.and this starfish.
    7. 7. Animals that have LineAnimals that have Line SymmetrySymmetry Here are a few more great examples ofHere are a few more great examples of mirror image in the animal kingdom.mirror image in the animal kingdom.
    8. 8. THESE MASKS HAVETHESE MASKS HAVE SYMMETRYSYMMETRY These masks have a line ofThese masks have a line of symmetry from the forehead tosymmetry from the forehead to the chin.the chin. The human face also has a line ofThe human face also has a line of symmetry in the same place.symmetry in the same place.
    9. 9. Human SymmetryHuman Symmetry The 'Proportions of Man'The 'Proportions of Man' is a famous work ofis a famous work of art by Leonardo daart by Leonardo da Vinci that shows theVinci that shows the symmetry of thesymmetry of the human form.human form.
    10. 10. REFLECTION IN WATERREFLECTION IN WATER If an object isIf an object is reflected in waterreflected in water it is considered toit is considered to have linehave line symmetry alongsymmetry along the waterline.the waterline.
    11. 11. The Taj MahalThe Taj Mahal Symmetry exists in architecture all aroundSymmetry exists in architecture all around the world.  The best known example ofthe world.  The best known example of this is the Taj Mahal.this is the Taj Mahal.
    12. 12. This photograph shows 2 lines of symmetry.This photograph shows 2 lines of symmetry. One vertical, the other along theOne vertical, the other along the waterline.waterline. (Notice how the prayer towers, called minarets, are reflected in the(Notice how the prayer towers, called minarets, are reflected in the water and side to side).water and side to side).
    13. 13. 2D Shapes and Symmetry2D Shapes and Symmetry After investigating the followingAfter investigating the following shapes by cutting andshapes by cutting and folding, we found:folding, we found:   
    14. 14. an equilateral triangle has 3 internalan equilateral triangle has 3 internal angles and 3 lines of symmetry. angles and 3 lines of symmetry. 
    15. 15.       a square has 4 internal angles and 4a square has 4 internal angles and 4 lines of symmetry. lines of symmetry.    
    16. 16.    a regular pentagon has 5 internala regular pentagon has 5 internal angles and 5 lines of symmetry.angles and 5 lines of symmetry.   
    17. 17. a regular hexagon has 6 internal anglesa regular hexagon has 6 internal angles and 6 lines of symmetry .and 6 lines of symmetry .
    18. 18.       a regular octagon has 8 internala regular octagon has 8 internal angles and 8 lines of symmetry.angles and 8 lines of symmetry.

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