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SymmetryA Visual Presentation

Line Symmetry

- Shape has line symmetry when one halfof it is

the mirror image of the other half. - Symmetry can have vertical, horizontal or

diagonal line symmetry.

Is a butterfly symmetrical?

Line Symmetry exists in nature but you may not

have noticed.

At the beach there are a variety of shells with

vertical line symmetry.

Under the sea there are also many symmetrical

objects such as these crabs. They have

horizontal symmetry. This starfish has

vertical and diagonal symmetry.

Animals that have Line Symmetry

- Here are a few more great examples of vertical

symmetry in the animal kingdom.

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.

REFLECTION IN WATER

- If an object is reflected in water it is

considered to have line symmetry along the

waterline. This is called horizontal symmetry.

The Taj Mahal

- Symmetry exists in architecture all around the

world. The best known example of this is the Taj

Mahal.

- This photograph shows 2 lines of symmetry. One

vertical, the other horizontal along the

waterline. - (Notice how the prayer towers, called minarets,

are reflected in the water and side to side).

2D Shapes and Symmetry

- Lets look at 2D shapes to find lines of

symmetry.

- How many lines of symmetry did you find for each

shape?

- An equilateral triangle has 3 lines of symmetry.

- A square has 4 lines of symmetry.

- A regular pentagon has 5 lines of symmetry.

- A regular hexagon has 6 lines of symmetry .

- A regular octagon has 8 lines of symmetry.

Lets do a practice problem together

- Lisa and Rob are flying a rhombus shaped kite.

They need to fold the kite in half along a line

of symmetry to have it fit in a backpack. Which

picture shows the lines they can choose from? - A B C

D

D

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