Question

The angle of rotation for the given figure is ${60}^{\circ }$. At what other angles of rotation will you get the same figure?

• A. ${120}^{\circ }$
• B. ${180}^{\circ }$
• C. ${240}^{\circ }$
• D. ${360}^{\circ }$

Answer 1

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

The correct options are
A

${120}^{\circ }$

B

${180}^{\circ }$

C

${240}^{\circ }$

D

${360}^{\circ }$

It is given that the angle of rotation is ${60}^{\circ }$. The same figure will be obtained if it is rotated in angles which are the multiples of ${60}^{\circ }$. Hence, these angles will be:
${120}^{\circ },{180}^{\circ },{240}^{\circ },{300}^{\circ },{360}^{\circ }$
For ${60}^{\circ }$ rotation, it will rotate six times.


For ${120}^{\circ }$ rotation, it will rotate three times.

For ${180}^{\circ }$ rotation, it will rotate two times.


For ${360}^{\circ }$ rotation, it will rotate one time.
Similarly, for ${240}^{\circ }$​ and ${300}^{\circ }$ it will rotate once as shown.​​​​​​