Ralph wants to prove that his construction of an angle bisector of ZRPQ is correct. To do this, he needs to prove that ZQPS ZRPS. Ralph extends his angle
bisector to cross over a ray constructed from point Q that is parallel to PR. The
intersection of the bisector extension and the ray is labeled point T as shown in the
diagram. Ralph finds that QP QT.
s
s
T
R
Based on the given information, which of the following angles must be congruent to
QPS? Select all that apply.
ZPQS
O ZOTS
ZTOS
O PRS
O ZRPS