1. **Problem Statement:** Given triangle with points P, T, Q, and S, where \(\angle PTQ\) is a right angle and segments \(ST \cong PT\). We need to identify which term best describes segment \(QT\). 2. **Key Definitions:** - A **perpendicular bisector** is a line segment that is perpendicular to a side of a triangle and divides that side into two equal parts. - An **altitude** is a perpendicular segment from a vertex to the line containing the opposite side. - An **angle bisector** divides an angle into two equal angles. 3. **Analysis:** - Since \(\angle PTQ\) is a right angle, \(QT\) is perpendicular to \(PT\). - Given \(ST \cong PT\), point \(T\) lies on segment \(SP\) such that \(T\) is the midpoint of \(SP\) (because \(ST\) and \(PT\) are equal). 4. **Conclusion:** - Segment \(QT\) is perpendicular to \(SP\) at its midpoint \(T\), so \(QT\) is the **perpendicular bisector** of segment \(SP\). **Final answer:** perpendicular bisector