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**Symmetry: A Visual Presentation**

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Line Symmetry A shape has line symmetry when one half of it is the mirror image of the other half. Symmetry exists all around us and many people see it as being a thing of beauty.

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**To be a line of symmetry, the shape must have two halves that match exactly.**

When you trace a heart onto a piece of folded paper, and then cut it out, the two half hearts make a whole heart. The two halves are symmetrical.

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**Which of these flags have a line of symmetry?**

United States of America NO Canada YES

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**What about these math symbols?**

Do they have symmetry? + - Yes Yes - x Yes Yes

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**Line Symmetry exists in nature but you may not have noticed.**

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**At the beach, there are a variety of shells with line symmetry.**

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**Under the sea there are also many symmetrical objects such as these crabs and this starfish.**

This type of symmetry is also called reflectional symmetry as the two parts reflect/match along each side of a dividing line ( or axis ).

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**Animals that have Line Symmetry**

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

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REFLECTION IN WATER If an object is reflected in water, it is considered to have line symmetry along the waterline.

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

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**This photograph shows 2 lines of symmetry**

This photograph shows 2 lines of symmetry. One vertical, the other along the waterline. (Notice how the prayer towers, called minarets, are reflected in the water and side to side).

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Shapes and Symmetry Do equilateral triangles have lines of symmetry? How many? Investigate by folding and make a conjecture!

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**An equilateral triangle has 3 lines of symmetry. **

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Shapes and Symmetry Do squares have lines of symmetry? How many? Investigate by folding and make a conjecture!

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** A square has 4 lines of symmetry. **

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Shapes and Symmetry Do regular pentagons have lines of symmetry? How many? Investigate by folding and make a conjecture!

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** A regular pentagon has 5 lines of symmetry. **

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Shapes and Symmetry Do regular hexagons have lines of symmetry? How many? Investigate by folding and make a conjecture!

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**A regular hexagon has 6 lines of symmetry .**

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Shapes and Symmetry Do trapezoids have lines of symmetry? How many would you guess? Investigate by folding and make a conjecture! What would happen if the trapezoid was not isosceles?

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** An isosceles trapezoid has 1 line of symmetry.**

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Shapes and Symmetry Do parallelograms have lines of symmetry? How many would you guess? Investigate by folding and make a conjecture! What would happen if the parallelogram was a rhombus?

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** A parallelogram has no lines of symmetry, but a rhombus has 2 lines of symmetry.**

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**A B C D E FG H I J K L M N O P Q R S T U V W X Y Z**

You can look to see if your name has symmetrical letters in it too! A B C D E FG H I J K L M N O P Q R S T U V W X Y Z Infinite number

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Reflectional Symmetry The image is exactly the same on both sides… therefore it is reflected across the line of symmetry. WARM UP: Draw lines of Symmetry.

Reflectional Symmetry The image is exactly the same on both sides… therefore it is reflected across the line of symmetry. WARM UP: Draw lines of Symmetry.

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