Answer:
The correct option is B.
Step-by-step explanation:
It is given that hexagon GIKMPR and ΔFJN are regular. The dashed line segments form 30° angles.
The measure of center angle is 360 degree.
If the graph is rotated 180 degree about O, then number of 30° angles in the rotation is
[tex]\frac{180}{30}=6[/tex]
It means the image of any point is 6th point from that point in clockwise or counterclockwise direction.
We have to find the image of ON after a rotation of 180°. From the figure it is noticed that the 6th point from N is H, therefore the image of ON is OH.
Since 180 degree is an straight line, therefore image and preimage lie on a straight line.