Symmetry:Symmetry:A Visual PresentationA Visual Presentation

A PowerPoint Presentation created by Mrs. Gamache using A PowerPoint Presentation created by Mrs. Gamache using the the collection of web pages created by the Adrian Bruce and students collection of web pages created by the Adrian Bruce and students

of 6Bof 6Bhttp://www.adrianbruce.comhttp://www.adrianbruce.com

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 many Symmetry exists all around us and many people see it as being a thing of people see it as being a thing of beauty.beauty.

Is a butterfly symmetrical?Is a butterfly symmetrical?

Line Symmetry exists in Line Symmetry exists in nature but you may not nature but you may not

have noticed.have noticed.

At the  beach there are At the  beach there are a variety of shells with line a variety of shells with line

symmetry.symmetry.

Under the sea there are also Under the sea there are also many symmetrical objects many symmetrical objects

such as these crabssuch as these crabs

and this starfish.and this starfish.

Animals that have Line Animals that have Line SymmetrySymmetry

Here are a few more great examples of Here are a few more great examples of mirror image in the animal kingdom.mirror image in the animal kingdom.

THESE MASKS HAVE THESE MASKS HAVE SYMMETRYSYMMETRY

These masks have a line of These masks have a line of symmetry from the forehead to symmetry from the forehead to

the chin.the chin.

The human face also has a line of The human face also has a line of symmetry in the same place.symmetry in the same place.

Human SymmetryHuman Symmetry

The 'Proportions of Man' The 'Proportions of Man' is a famous work of is a famous work of art by Leonardo da art by Leonardo da

Vinci that shows the Vinci that shows the symmetry of the symmetry of the

human form.human form.

REFLECTION IN WATERREFLECTION IN WATER

If an object is If an object is reflected in water reflected in water it is considered to it is considered to

have line have line symmetry along symmetry along the waterline.the waterline.

The Taj MahalThe Taj Mahal

Symmetry exists in architecture all around Symmetry exists in architecture all around the world.  The best known example of the world.  The best known example of

this is the Taj Mahal.this is the Taj Mahal.

This photograph shows 2 lines of symmetry. This photograph shows 2 lines of symmetry. One vertical, the other along the One 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).

2D Shapes and Symmetry2D Shapes and Symmetry

After investigating the following After investigating the following shapes by cutting and shapes by cutting and

folding, we found: folding, we found:    

an equilateral triangle has 3 internal an equilateral triangle has 3 internal angles and 3 lines of symmetry. angles and 3 lines of symmetry. 

        a square has 4 internal angles and 4 a square has 4 internal angles and 4

lines of symmetry.  lines of symmetry.     

    a regular pentagon has 5 internal a regular pentagon has 5 internal angles and 5 lines of symmetry.angles and 5 lines of symmetry.

  

a regular hexagon has 6 internal angles a regular hexagon has 6 internal angles and 6 lines of symmetry . and 6 lines of symmetry .

        a regular octagon has 8 internal a regular octagon has 8 internal

angles and 8 lines of symmetry.angles and 8 lines of symmetry.