Let's call that a hexagonal wheel.
Plane symmetry means there's some plane you can use to slice through that divides this shape into congruent pieces.
This shape has many plane symmetries including the one indicated with the pink plane. That slices the wheel into two identical thinner wheels.
Really any plane through the center slices this wheel into two congruent pieces, all of those examples of plane symmetry.
The hexagonal wheel also has rotational symmetry about an axis, what would be the axle of the wheel as indicated in the drawing.
Answer: Both plane and line symmetry