Question

After rotating by ${60}^{\circ }$ about a centre, a figure looks exactly the same as at its original position. At what other angle will this happen for the figure?

• A. ${120}^{\circ }$
• B. ${100}^{\circ }$
• C. ${150}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is A ${120}^{\circ }$

It can be observed that if a figure looks symmetrical on rotating by ${60}^{\circ }$, then it will also look symmetrical on rotating by multiples of ${60}^{\circ }$ i.e., ${120}^{\circ }$,${180}^{\circ }$,${240}^{\circ }$ and ${360}^{\circ }$.