Symmetry:Symmetry:A Visual PresentationA Visual Presentation

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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 beauty.people see it as being a thing of beauty.

Is a butterfly Is a butterfly symmetrical?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 a variety of shells with

line symmetry.line 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 the symmetry from the forehead to the

chin.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.

REFLECTION IN WATERREFLECTION IN WATER

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

is considered to 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 Symmetry exists in architecture all around the world.  The best known around the world.  The best known example of this is the Taj Mahal.example of this is the Taj Mahal.

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

the waterline.the 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 2D Shapes and SymmetrySymmetry

These shapes have one line These shapes have one line of symmetryof symmetry

Shapes can have more than one line Shapes can have more than one line of symmetryof symmetry

These shapes have two lines of symmetry.

How many lines of symmetry How many lines of symmetry does this flag have?does this flag have?

What do you think?

How many lines of symmetry How many lines of symmetry does this object have?does this object have?

What do you think?

How many lines of symmetry How many lines of symmetry does this object have?does this object have?

What do you think?

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

How many lines of symmetry How many lines of symmetry does this object have?does this object have?

What do you think?

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

lines of symmetry.  lines of symmetry.     

How many lines of symmetry How many lines of symmetry does this object have?does this object have?

What do you think?

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

  

How many lines of symmetry How many lines of symmetry does this object have?does this object have?

What do you think?

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

How many lines of symmetry How many lines of symmetry does this object have?does this object have?

What do you think?

        a regular octagon has 8 internal a regular octagon has 8 internal angles and 8 lines of symmetry.angles and 8 lines of symmetry.

Half-turn SymmetryHalf-turn Symmetry

A figure has A figure has half-turn symmetryhalf-turn symmetry if its if its half-turned image looks exactly the half-turned image looks exactly the same as the original figure.same as the original figure.

Does the figure have Does the figure have half-turn symmetry?half-turn symmetry?

A figure has A figure has half-turn symmetryhalf-turn symmetry if its if its half-turned image looks exactly the half-turned image looks exactly the same as the original figure.same as the original figure.

Does the figure have Does the figure have half-turn symmetry?half-turn symmetry?

A figure has A figure has half-turn symmetryhalf-turn symmetry if its if its half-turned image looks exactly the half-turned image looks exactly the same as the original figure.same as the original figure.

Does the figure have Does the figure have half-turn symmetry?half-turn symmetry?

A figure has A figure has half-turn symmetryhalf-turn symmetry if its if its half-turned image looks exactly the half-turned image looks exactly the same as the original figure.same as the original figure.

Does the figure have Does the figure have half-turn symmetry?half-turn symmetry?

A figure has A figure has half-turn symmetryhalf-turn symmetry if its if its half-turned image looks exactly the half-turned image looks exactly the same as the original figure.same as the original figure.

Does the figure have Does the figure have half-turn symmetry?half-turn symmetry?

A figure has A figure has half-turn symmetryhalf-turn symmetry if its if its half-turned image looks exactly the half-turned image looks exactly the same as the original figure.same as the original figure.

Find objects in the classroom that Find objects in the classroom that have symmetryhave symmetry

Which objects have line symmetry?Which objects have line symmetry? Which objects have half-turn symmetry?Which objects have half-turn symmetry? Which objects are on both lists?Which objects are on both lists?