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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

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..