Question

Rotating the given regular hexagon by an angle of ${60}^{\circ }$ yields the same figure as the original. At what other angles will this happen for the figure?

• A. ${120}^{\circ }$
• B. ${180}^{\circ }$
• C. ${240}^{\circ }$
• D. ${310}^{\circ }$

Answer 1

Answer: (A), (B), (C)

${240}^{\circ }$


It can be noted from the above figures that during a ${360}^{\circ }$ rotation, the figure looks exactly like the original at angles ${60}^{\circ },{120}^{\circ },{180}^{\circ },{240}^{\circ }$ and ${300}^{\circ }.$