The hexagon GIKMPR and FJN are regular. The dashed line segments form 30 degree angles.

Find the image of OM after a rotation 270

OP

OF

OQ

OJ

The image of OM after a rotation of 270 degrees will be OJ. This is because a rotation of 270 degrees is equivalent to rotating the shape 90 degrees clockwise, so OM will end up at the position of OJ.