Subjective Type

What is the order of rotational symmetry of a square? Give the angles of such rotations.

Solution

Let us rotate a square ABCD (given in fig. 1) through 90o,180o,270o90o,180o,270o and 360o360o to attain the position shown in Fig. 2, Fig. 3, Fig. 4 and Fig. 5 respectively.
Clearly, each of the four times, the figure fits onto itself. 3, Fig. 4 and Fig. 5 respectively.
So, it has a rotational symmetry of order 4.

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