order of rotational symmetry


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.

Solved Example on Order of Rotational Symmetry

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.

Related Terms for Order of Rotational Symmetry

  • Order
  • Rotational Symmetry