Magnetoresistance measurements have been carried out on the amorphous Ni-76 Mn-24 and Ni-74 Mn-24 Pt-2 thin film alloys at T = 4.2, 77 and 300 K for three different cases: (i) The applied magnetic field H parallel to the current J (longitudinal magnetoresistance); (ii) the applied field perpendicular to the current, but parallel to the film surface (Transverse magnetoresistance); (iii) the applied field perpendicular to the film surface (Normal magnetoresistance). The resistivity for H perpendicular to J in a saturating magnetic field (the field H = 20 kOe is large enough to eliminate the magnetoresistance effect) has been observed to be dependent upon the direction of the field relative to the easy axis (z-axis) along which the magnetic anisotropy has been developed as being uniaxial in character. It was determined that the resistance anisotropy exhibits the same symmetry as the uniaxial magnetic anisotropy. The relationship between the magnetic anisotropy and the ferromagnetic anisotropy in resistivity is discussed. Furthermore, replacing some Ni atoms with Pt impurities has been observed to result in a decrease of ferromagnetic anisotropy in the resistivity. Some possible reasons for this are discussed as well.