Question

∠pqs is a right angle and qr ≅ pq.
which term describes (overline{qs})?
perpendicular bisector\tmedian
angle bisector\tnone of these

Explanation:

Step1: Recall definitions

• Perpendicular bisector: A line that is perpendicular to a segment and bisects it.
• Median: A line segment joining a vertex to the mid - point of the opposite side.
• Angle bisector: A line that divides an angle into two equal angles.

Step2: Analyze given information

Given \(\angle PQS = 90^{\circ}\) (right - angle) and \(QR\cong PQ\). But there is no information given that \(QS\) bisects a side (to be a perpendicular bisector or median) or an angle (to be an angle bisector).

Answer:

none of these