Line Stitching
Consider all 1 unit long line segments that have an end point on the line y=0 and the other on x=0.
Consider all 1 unit long line segments that have an end point on the line y=0 and the other on x=0.
Starting with some points on a number line, if we put a mirror somewhere on the number line, it will reflect all existing points in itself so that the resulting set of points are symmetrical around it.