Question

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

Answer 1

It is B. Since each angle is 60 degrees, if you rotate B counterclockwise 6 times, it means that you rotated B 360 degrees. Therefore, the image of B would be B.

Answer 2

B will be at same place after all six rotations.

Explanation:

If rotation maps to
`60^(\circ)`

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.