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

Question

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

Explanation:

Step1: Recall the definition of a perpendicular bisector

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

Step2: Analyze each option

  • Line \(SV\):
  • From the figure, line \(SV\) is perpendicular to a segment (as indicated by the right - angle symbol) and also bisects the segment (as indicated by the equal - length marks).
  • Segment \(RW\):
  • Segment \(RW\) is just a part of a side of the right - angled triangle \( \triangle PWT\) and does not bisect any segment perpendicularly.
  • Segment \(QT\):
  • Segment \(QT\) is a median (since it connects a vertex \(Q\) to the mid - point of a side, but there is no indication that it is perpendicular to the side it connects to).
  • Ray \(RU\):
  • A ray has one endpoint. Ray \(RU\) does not bisect a segment perpendicularly as it is a ray starting from \(R\) and going towards \(U\) and there is no evidence that it bisects a segment at a right - angle.

Answer:

Line \(SV\)