Can wehave a rotational symmetry of order more than 1 whose angle ofrotation is

(i) 45°?

(ii) 17°?

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.

  • -1
What are you looking for?