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Rotational Symmetry of Polygons

Author:Brooke Gruntowicz, Kendra Garmon, Ms. Sherman, Duane Runyan, azb, youngcar

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°?

Select 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)

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

Square

Number of Rotational Symmetries

Does the SQUARE have 90° rotational symmetry?

Select 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)

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

Number of Rotational Symmetries

Does a REGULAR PENTAGON have 90° rotational symmetry?

Select 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)

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

Number of Rotational Symmetries

Does a REGULAR Hexagon have 90° rotational symmetry?

Select 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)

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

Rotational symmetry of Non-regular polygons

What happens when we try to rotate a polygon onto itself that doesn't have equal sides and angles? Explore with a rectangle and trapezoid below.

Rectangle (non-regular polygon)

Number of Rotational Symmetries

How many times did the rectangle land onto itself?

Check my answer

Number of Rotational Symmetries

How many times did the trapezoid land onto itself?

Check my answer

Number of Rotational Symmetries

Does a REGULAR OCTAGON have 90° rotational symmetry?

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

List Rotational Symmetries

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

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

How many sides do the shapes with 90 degree rotational symmetry have? Do you think there's a pattern?

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