Question

Can we have a rotational symmetry of order more than 1 whose angle of rotation is

(a) 45°?
(b) 17° ?

Answer 1

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(a) Yes

(b) No

Answer 2

It can be observed that if the angle of rotation of a figure is a factor of 360°, then it will have a rotational symmetry of order more than 1.

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(i) It can be checked that 45° is a factor of 360°. Therefore, the figure having its angle of rotation as 45° will have its rotational symmetry of order more than 1.

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(ii) 17° is not a factor of 360°. Therefore, the figure having its angle of rotation as 17° will not be having its rotational symmetry of orde r more than 1 .