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

The figure shows two rays QP and QR with a common endpoint 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 uses the same width to draw arcs from A and B that intersect at S?

BQ = BS when ∠AQS ≅ ∠BQS.
AQ = AS when ∠AQS ≅ ∠BQS.
∠AQS ≅ ∠BQS when AS = BS and AQ = BQ.
∠AQS ≅ ∠BQS when AS = BQ and BS = AQ.