An equilateral triangle has rotational symmetry of order 3. This means that it can be rotated by \(120^\circ\) and \(240^\circ\) around its center and still look the same as it did before the rotation. Additionally, it has a \(360^\circ\) rotation which brings it back to its original position. In summary, every \(120^\circ\) of rotation results in the triangle appearing unchanged, showcasing its three symmetrical positions.
The equilateral triangle has rotational symmetry of:
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