After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

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120°, 180°

240°, 300°

360°

All of the above

answer is D.

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Detailed Solution

After rotating by 60° about a centre, the figure looks exactly the same as its original position.
If a figure is looks same after rotating in certain angle means that the figure is said to have rotational geometry with the respective angle.
As per the given, the figure will look same even after the rotation of 60°, then it will look same as the original position for the angles 120°, 180°, 240°, 300°, 360°.
Hence, the other angles are 120°, 180°, 240°, 300°, 360° and at these angles, the figure will look the same as the original position.
Correct option is 4.

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