The hexagon GIKMPR is regular. The dashed line segments form 30° angles.
What is the angle of rotation about O that maps PQ to RF?
(1 point)
A. 240
B. 210
C. 90
D. 300
To find the angle of rotation that maps PQ to RF, we need to determine how many degrees the hexagon needs to be rotated.
Since GIKMPR is a regular hexagon, each angle at the center is 360/6 = 60 degrees.
If we draw a line from O to P or O to R, it will be an angle bisector of the angle POR, which is 60 degrees.
Since the dashed line segments form 30 degree angles, the angle of rotation about O can be determined by subtracting the 30 degree angles from the 60 degree angle at O.
Therefore, the angle of rotation that maps PQ to RF is 60 - 30 = 30 degrees.
The correct answer is not among the given options.