State-to-state rotational transitions of planar structures forming regular polygons are studied within a simple spectator model, which for electron-diatomic molecule scattering has been found to be in excellent agreement with experiments. Selection rules in the state-to-state transition probabilities for the excitation from the ground state are discussed. Transition probabilities for the excitation of initially rotating planar highly symmetric targets are derived using a new factorization relation which relates the transition probabilities for initially excited states to those from the rotational ground state.