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Q.

By what minimum angle does a regular hexagon rotate so as to coincide with its original position for the first time?

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a

60°

b

70°

c

34°

d

89°

answer is A.

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Detailed Solution

A rotational symmetry angle is the angle to rotate so as to become the original image.
We know that the rotational symmetry angle =

\frac{360}{n}

where n is the number of vertices.
For a regular hexagon, the number of vertices is 6.
The rotational symmetry angle =

\frac{360}{6} = 60 °

.
Hence, the figure must be rotated by 60°.
So, option 1 is correct.

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By what minimum angle does a regular hexagon rotate so as to coincide with its original position for the first time?