FIG. 1 is a front view of the rear bumper for the motor vehicle showing our new design; FIG. 2 is a top plan view thereof; FIG. 3 is a bottom view thereof; FIG. 4 is a rear view showing thereof; FIG. 5 is a right side view thereof; FIG. 6 is a left side view thereof; and, FIG. 7 is a perspective view thereof.