What is the order of rotational symmetry of an equilateral triangle?

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Solution

Let us rotate an equilateral triangle ABC through $120^{o}, 240^{o}$ and $360^{o}$ to attain the positions Shown in fig1, fig2, fig3 and fig4 respectively.
Clearly, each of the three times, the figure fits onto itself.
So, it has a rotational symmetry of order 3.

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