Radial profiles of A₁ for our four classification cases, calculated as the median of A₁ for each bin with respect to R₉₀. The fuchsia and blue distributions represent the correctly classified lopsided galaxies $({\mathrm{LG}}_{{\mathrm{A}}_1}-{\mathrm{LG}}_{\mathrm{m}})$ and symmetric galaxies $({\mathrm{SG}}_{{\mathrm{A}}_1}-{\mathrm{SG}}_{\mathrm{m}})$, respectively. The green distribution represents symmetric galaxies pre-classified as lopsided $({\mathrm{SG}}_{{\mathrm{A}}_1}-{\mathrm{LG}}_{\mathrm{m}})$ and the purple distribution represents lopsided galaxies pre-classified as symmetric $({\mathrm{LG}}_{{\mathrm{A}}_1}-{\mathrm{SG}}_{\mathrm{m}})$. The shaded areas represent the 25th and 75th percentiles of each sample.