Question

Ben uses a compass and a straightedge to bisect angle PQR, as shown below:

The figure shows two rays QP and QR having a common end point Q. An arc drawn from Q cuts the ray QP at A and the ray QR at B. Two small arcs intersect between the lines QP and QR. The point of intersection of the arcs is labeled S. The points Q, S, and T are joined with a line.

Which statement best explains why Ben should not change the width of the compass while drawing the arcs at A and B from Q?