Question

Laci constructed ∠ PQR with line segments overline QC, overline AC , and overline BC , as shown in the image. Which line segment is the angle bisector of ∠ PQR ? (1 point) Line segment overline BR is the angle bisector of ∠ PQR. Line segment overline QP s the angle bisector of ∠ PQR. Line segment overline AC is the angle bisector of ∠ PQR. Line segment overline QC is the angle bisector of ∠ PQR.

Answer 1

overline QC

Reason: The standard construction shown draws equal arcs from Q hitting the sides at A and B, then arcs from A and B that meet at C; joining Q to C gives the angle bisector, so QC bisects ∠PQR.