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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. 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. 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 AmericaCanada

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What about these math symbols? Do they have symmetry?

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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.

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

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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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