Order of Rotational Symmetry

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Definition of Order of Rotational Symmetry

The number of positions a figure can be rotated to, without bringing in any changes to the way it looks originally, is called its Order of Rotational Symmetry.

More About Order of Rotational Symmetry

  • Order of rotational symmetry depends upon the number of equal sides that a regular polygon has.

Examples of Order of Rotational Symmetry

  • A square has rotational symmetry of order 4.
  • A rectangle has rotational symmetry of order 2
  • An equilateral triangle has rotational symmetry of order 3

Video Examples: Order of Rotational Symmetry


Solved Example on Order of Rotational Symmetry

Ques: Find the order of rotational symmetry of the figure shown.

    Choices:
    A. 6
    B. 7
    C. 8
    D. 12
    Correct Answer: A

Solution:

    Step 1: Order of rotational symmetry depends upon the number of equal sides that a regular polygon has.
    Step 2: The given figure has 6 equal sides.
    Step 2: So, it has the rotational symmetry of order 6..

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