Given: QS bisects ∠TQR; TQ ≅ RQ. Prove: ΔQRS ≅ ΔQTS Triangles Q T S and Q R S are connected at side Q S. Line Q S bisects angle T Q R. The lengths of sides Q T and Q R are congruent. Complete the missing parts of the paragraph proof. Proof: We know that segment QS bisects angle TQR because . By the definition of angle bisector, angle TQS is congruent to angle . We see that segment QS is congruent to segment SQ by . Therefore, we can conclude that triangles QRS and QTS are congruent by .