© 2016 AIP Publishing LLC. In this work, we carried out systematic experimental and theoretical investigations of ferromagnetic resonance (FMR) responses of quasi-two-dimensional magnetic objects - macroscopically long stripes with nanoscale cross-section made of ferromagnetic metals. We were interested in the impact of the symmetries of this geometry on the FMR response. Three possible scenarios from which the inversion symmetry break originated were investigated, namely: (1) from the shape of the stripe cross-section, (2) from the double-layer structure of the stripes with exchange coupling between the layers, and (3) from the single-side incidence of the microwave magnetic field on the plane of the stripe array. The latter scenario is a characteristic of the stripline FMR configuration. It was found that the combined effect of the three symmetry breaks is much stronger than the impacts of each of these symmetry breaks separately.