Question

The figure below shows a partially completed construction of triangle PQR.

A horizontal line segment and a perpendicular line that meets the line segment at point P is drawn. A semi-circle with its center at P and which meets the line segment at two points is drawn. Point Q lies on the arc to the right of the perpendicular line. Point R lies on the arc to the right of the perpendicular line but below Q.

Which statement is true?
The length of segment QP and the length of segment PR is the same because both the points are to the right of the right angle formed.

The length of segment Q