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.
Which statement best explains why Ben uses the same width to draw arcs from A and B which intersect at S? (6 points)

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.