The rotation r maps all 60° about o the center of the regular hexagon. state the image of b for the following rotation.

r^6 =

b
e
o

B will be at same place after all six rotations.

Step-by-step explanation:

If rotation maps to

Then [tex]R^6[tex] means six rotations .

The given B after one rotation will shift in place of A

After second rotation will shift in place of F

After third rotation will shift in place of E

After fourth rotation will shift in place of D

After fifth rotation will shift in place of C

After sixth rotation will shift in place of B itself.

Therefore, B will come back to same place after all the required rotations.