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2026-02-12 05:05:27

To determine the order of rotational symmetry of a figure, follow these steps:

What is Rotational Symmetry?

A figure has rotational symmetry if it looks identical to its original position after rotating it by an angle less than (360^\circ) around its center.

How to Find the Order:

The order is the number of times the figure maps onto itself during one full rotation ((360^\circ)).

  1. Identify the smallest rotation angle ((\theta)) where the figure looks the same (e.g., a square maps to itself at (90^\circ)).
  2. Calculate the order: (\text{Order} = \frac{360^\circ}{\theta}).

If no rotation (other than (360^\circ)) makes the figure look the same, the order is 1.

Common Examples:

  • Square: Order = 4 ((90^\circ,180^\circ,270^\circ,360^\circ))
  • Rectangle (non-square): Order = 2 ((180^\circ,360^\circ))
  • Equilateral triangle: Order =3 ((120^\circ,240^\circ,360^\circ))
  • Circle: Infinite order

Since the figure is missing, apply this method to your specific shape to find the order!

If you share the figure, I can give the exact answer.

Final Note: For most regular polygons with (n) sides, the order is (n).

Let me know if you need further help!

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