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Rotational and Reflection Symmetry

Author:Kaela Kunesh, Laura Kinnel

Angle of Rotation

What's the smallest angle of rotation you could use to get your original figure? Experiment by using the green slider at the top.

Lines of Symmetry

How many lines of symmetry does your figure have? Test it out by moving the red dot at the picture at the right. That shows what would happen if you folded the figure along the dotted line.

k = 0

What angle of rotation could you use to get your original figure?

Check my answer

k = 0

How many lines of symmetry does the figure have?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

k = 1

What angle of rotation could you use to get your original figure?

k = 1

How many lines of symmetry does the figure have?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

k = 2

What angle of rotation could you use to get your original figure? How many lines of symmetry does the figure have?

k = 3

What angle of rotation could you use to get your original figure? How many lines of symmetry does the figure have?

k = 4

What angle of rotation could you use to get your original figure? How many lines of symmetry does the figure have?

k = 5

What angle of rotation could you use to get your original figure? How many lines of symmetry does the figure have?

k = 6

What angle of rotation could you use to get your original figure? How many lines of symmetry does the figure have?

k = 7

What angle of rotation could you use to get your original figure? How many lines of symmetry does the figure have?

k = 9

What angle of rotation could you use to get your original figure? How many lines of symmetry does the figure have?

Application to a regular polygon...

Let's say you have a regular dodecagon (a shape with 12 sides and 12 angles)... What would be the angle of rotation to get the same figure?

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