Luminous module for the lighting of a motor vehicle, said module comprising first means arranged to produce a first beam with a cut-off, and second means arranged to produce at least two selectively activatable light segments, the light segments forming a second beam which makes it possible to implement a non-dazzling high beam function by complementing the beam with a cut-off, when they are activated simultaneously, the module also comprising a projection device disposed on the path of said beams (11, 13), said projection device having a focal zone, notably a focal plane, the first means consisting of a first sub-module arranged to produce a low beam, notably having an oblique cut-off portion, the first sub-module also having a shield, for forming a cut-off means for the beam of rays emitted by the light source of the first sub-module, the shield having an edge disposed in the focal zone of the projection device, the second means consisting of a second sub-module in which at least two second selectively activatable light sources are able to simultaneously or alternatively emit rays of light, the second sub-module having complementary means arranged to interact with the second light sources so as to form images of these sources at the focal zone of the projection device, these images being intended to be projected by the projection device to form said light segments, the complementary means having optical waveguides associated respectively with one of the second light sources, each optical waveguide having an entry face and an exit face so as to guide the light emitted by the associated second light source from the entry face to the exit face, and the optical waveguides are disposed such that their respective downstream portions, which bear the exit face, are joined to one another and such that their respective upstream portions, which bear the entry face, are transversely spaced apart from one another, characterized in that each beam portion segment is obtained by the interaction between a light source and an associated optical waveguide. the module also comprising a projection device disposed on the path of said beams (11, 13), said projection device having a focal zone, notably a focal plane, the first means consisting of a first sub-module arranged to produce a low beam, notably having an oblique cut-off portion, the first sub-module also having a shield, for forming a cut-off means for the beam of rays emitted by the light source of the first sub-module, the shield having an edge disposed in the focal zone of the projection device, the second means consisting of a second sub-module in which at least two second selectively activatable light sources are able to simultaneously or alternatively emit rays of light, the second sub-module having complementary means arranged to interact with the second light sources so as to form images of these sources at the focal zone of the projection device, these images being intended to be projected by the projection device to form said light segments, the complementary means having optical waveguides associated respectively with one of the second light sources, each optical waveguide having an entry face and an exit face so as to guide the light emitted by the associated second light source from the entry face to the exit face, and the optical waveguides are disposed such that their respective downstream portions, which bear the exit face, are joined to one another and such that their respective upstream portions, which bear the entry face, are transversely spaced apart from one another, characterized in that each beam portion segment is obtained by the interaction between a light source and an associated optical waveguide.