Question

name a perpendicular bisector.
line sv
segment rw
segment qt
ray ru

Explanation:

Step1: Recall the definition of perpendicular bisector

A perpendicular bisector of a segment is a line (or ray or segment) that is perpendicular to the segment and bisects (divides into two equal parts) the segment.

Step2: Analyze each option

• Line \(SV\):
• From the figure, line \(SV\) is perpendicular to the segment it intersects (as indicated by the right - angle symbol) and also bisects that segment (as indicated by the equal - length marks).
• Segment \(RW\):
• Segment \(RW\) is just a side of the right - angled triangle \( \triangle PWT\) (since \(\angle W = 90^{\circ}\)), it is not a bisector of any segment.
• Segment \(QT\):
• Segment \(QT\) is not perpendicular to any segment it intersects (no right - angle symbol is associated with it in the context of bisecting a segment) and there is no indication that it bisects a segment.
• Ray \(RU\):
• Ray \(RU\) has no indication of being perpendicular to a segment it could bisect. There is no right - angle symbol near the intersection point of \(RU\) with another segment (in the bisecting sense), and no equal - length marks for a segment it could bisect.

Answer:

Line \(SV\)