Given: rt || sp, rq ≅ qp, rp bisects st at q prove: δrqt ≅ δpqs triangles r q t and p q s are connected at point q. lines r t and s p are parallel. the lengths of lines r q and q p are congruent. tamir is working to prove the triangles congruent using sas. after stating the given information, he states that tq ≅ qs by the definition of segment bisector. now he wants to state that ∠rqt ≅ ∠pqs. which reason should he use? alternate interior angles theorem corresponding angles theorem linear pair postulate vertical angles theorem