The fully differential cross section for the electron-impact ionization of atomic hydrogen is analysed at an incident energy of 27.2 eV. The cross sections are calculated using a variety of theoretical models whose predictions are compared. It is seen that, as at higher impact energies, the angular distribution basically consists of two peaks which, at first sight, can be assigned to binary and recoil processes. However we show that the similarity is somewhat illusory in that the shape and position of the two peaks depend sensitively on the detection geometry and the energy sharing between the two electrons. Furthermore, the final-state electron-electron repulsion and the effects of exchange symmetry contribute significantly to the form of the observed angular distributions.