The hexagon GIKMPR is regular. The dashed line segments form 30° angles.

Question

What is the angle of rotation about O that maps PQ to RF?
(1 point)
A. 240
B. 210
C. 90
D. 300

Answer 1

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.