Symmetry In Math

What is Symmetry? ,[object Object],[object Object],[object Object]

Basic Types of Symmetry Vertical Line Horizontal Line Line Symmetry: when one half of an image is the mirror image of the other half.

Where can we find symmetry? ,[object Object],How many lines of symmetry can you find in these pictures?

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],The Euclidean Plane

Translation: ,[object Object],[object Object]

[object Object],[object Object]

Rotation: ,[object Object],[object Object],Before Rotation After Rotation Center [Angle 90˚]

[object Object],[object Object],[object Object],The object does not have to rotate 360 degrees to be rotational symmetry, as long as it has a center that it rotates around and an angle or amount of rotation, it is considered rotational.

Reflection : ,[object Object],[object Object],Mirror Line

[object Object],[object Object],[object Object],The Taj Mahal has both horizontal and vertical reflection symmetry. The Vitruvian Man by Leonardo DaVinci has vertical reflection symmetry.

Glide Reflection: ,[object Object],[object Object],[Before Glide Reflection] [After Glide Reflection] Mirror Line

Symmetry in 2D Shapes: ,[object Object]

Exercises to Extend Learning: ,[object Object],[object Object],[object Object],[object Object]

References: ,[object Object],[object Object],[object Object]

Symmetry In Math

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Symmetry In Math