Which characteristics will prove that ΔDEF is a right, scalene triangle? segment DE, segment EF, and segment DF are all different lengths, and their slopes are the same. Segment DE, segment EF, and segment DF are all different lengths, and the slopes of segment DE and segment EF opposite reciprocals. Segment DE, segment EF, and segment DF are all the same length, and their slopes are the same. Segment DE, segment EF, and segment DF are all the same length, and their slopes are opposite reciprocals.