Question

qr ≅ rs. which term describes tr? altitude angle bisector median perpendicular bisector

Explanation:

Step1: Recall definitions

• Altitude: A perpendicular segment from a vertex to the line containing the opposite side.
• Angle bisector: A segment that divides an angle into two congruent angles.
• Median: A segment that connects a vertex to the mid - point of the opposite side. Since \(\overline{QR}\cong\overline{RS}\), \(R\) is the mid - point of \(\overline{SQ}\).
• Perpendicular bisector: A line that is perpendicular to a segment and bisects it. There is no information about \(TR\) being perpendicular to \(SQ\).

Step2: Match the definition

Since \(R\) is the mid - point of \(\overline{SQ}\) and \(\overline{TR}\) connects vertex \(T\) to the mid - point \(R\) of \(\overline{SQ}\), \(\overline{TR}\) is a median.

Answer:

median