Rotational Symmetry Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
easyA figure has rotational symmetry of order . List all angles of rotation that map it onto itself.
Solution
- 1 Minimum angle: .
- 2 All angles are multiples of up to : .
Answer
For a figure with rotational symmetry of order , the angles that map it to itself are all multiples of from that value up to and including . The rotation is always included as the identity.
About Rotational Symmetry
A figure has rotational symmetry if it looks identical after being rotated by some angle less than about a central point. The order of rotational symmetry is the number of distinct positions where the figure looks the same during a full rotation.
Learn more about Rotational Symmetry →More Rotational Symmetry Examples
Example 1 easy
Determine the order of rotational symmetry and the minimum angle of rotation for a regular hexagon.
Example 2 mediumWhich of the letters 'S' and 'H' has rotational symmetry? State the order and angle for each that qu
Example 4 mediumEquilateral triangle [formula] is centred at the origin. A [formula] counterclockwise rotation maps