Can wehave a rotational symmetry of order more than 1 whose angle ofrotation is
(i) 45°?
(ii) 17°?

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Solution

It can beobserved that if the angle of rotation of a figure is a factor of360º, then it will have a rotational symmetry of order more than1.
It can bechecked that 45º is a factor of 360º but 17º is not.Therefore, the figure having its angle of rotation as 45º willhave its rotational symmetry of order more than 1. However, thefigure having its angle of rotation as 17º will not be havingits rotational symmetry of order more than 1.

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Similar questions

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

(i) 45°?

(ii) 17°?

17^{\circ}

A figure with angle of rotation as $17^{\circ}$ has rotational symmetry of order more than 1.

Draw, wherever possible, a rough sketch of

(i) a triangle with both line and rotational symmetries of order more than 1.

(ii) a triangle with only line symmetry and no rotational symmetry of order more than 1.

(iii) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.

(iv) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

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