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Rotational Symmetry of Regular Polygons

Author:Hanna Doraisingh, Kendra Garmon, Ms. Sherman, Duane Runyan

Remember: Regular Polygons are polygons with EQUAL SIDES AND ANGLES.

Remember: Regular Polygons are polygons with EQUAL SIDES AND ANGLES.

Equilateral Triangle

Number of Rotational Symmetries

Does the EQUILATERAL TRIANGLE rotate onto itself when rotated at 90°?

Tick all that apply
  • A
  • B
Check my answer (3)

List Rotational Symmetries

Choose the list that includes all Rotational Symmetries for an EQUILATERAL TRIANGLE. (Angles at which it lines up with the original triangle)

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

Square

Number of Rotational Symmetries

Does the SQUARE have 90° rotational symmetry?

Tick all that apply
  • A
  • B
Check my answer (3)

List Rotational Symmetries

Choose the list that includes all Rotational Symmetries for a SQUARE. (Angles at which it lines up with the original square)

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

Number of Rotational Symmetries

Does a REGULAR PENTAGON have 90° rotational symmetry?

Tick all that apply
  • A
  • B
Check my answer (3)

List Rotational Symmetries

Choose the list that includes all Rotational Symmetries for a REGULAR PENTAGON. (Angles at which it lines up with the original pentagon)

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

Number of Rotational Symmetries

Does a REGULAR Hexagon have 90° rotational symmetry?

Tick all that apply
  • A
  • B
Check my answer (3)

List Rotational Symmetries

Choose the list that includes all Rotational Symmetries for a REGULAR Hexagon. (Angles at which it lines up with the original pentagon)

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

Number of Rotational Symmetries

Does a REGULAR OCTAGON have 90° rotational symmetry?

Tick all that apply
  • A
  • B
Check my answer (3)

List Rotational Symmetries

Choose the list that includes all Rotational Symmetries for a Regular Octagon.

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

Possible Shortcut

Chris thinks he found a trick where if you divide 360 degrees (a full rotation) by the number of sides a regular polygon has, you'll get the angle of rotation. If so, find an example where this is true. If not, find an example where this trick doesn't work.

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