Question 760894
AB, AC, BC, and BD are distances (or segment lengths), so they are positive numbers/measures, but we do not know relative positions. B and C may be to the same side of A, or on different sides. D and C may be to the same side of B, or on different sides. There is more that one possible order.
Drawing the line horizontal, and rotating it so that C is to the right of A, here are some possibilities:
{{{drawing(300,300,0,5,-1,4,
line(0,3,5,3),red(circle(1,3,0.1)),blue(circle(2,3,0.1)),
green(circle(3,3,0.1)),circle(4,3,0.1),
locate(1,2.9,red(A)),locate(2,2.9,blue(B)),
locate(3,2.9,green(D)),locate(4,2.9,C),
line(0,2,5,2),blue(circle(1,2,0.1)),red(circle(2,2,0.1)),
green(circle(3,2,0.1)),circle(4,2,0.1),
locate(2,1.9,red(A)),locate(1,1.9,blue(B)),
locate(3,1.9,green(D)),locate(4,1.9,C),
line(0,1,5,1),blue(circle(1,1,0.1)),red(circle(2.2,1,0.1)),
green(circle(1.6,1,0.1)),circle(4,1,0.1),
locate(2.2,0.9,red(A)),locate(1,0.9,blue(B)),
locate(1.6,0.9,green(D)),locate(4,0.9,C),
line(0,0,5,0),red(circle(2,0,0.1)),blue(circle(1,0,0.1)),
green(circle(3,0,0.1)),circle(4,0,0.1),
locate(2,-0.1,red(A)),locate(1,-0.1,blue(B)),
locate(3,-0.1,green(D)),locate(4,-0.1,C)
)}}}