Question

consider the diagram. which line segment has the same measure as st? rx tx sr xs

Explanation:

Step1: Recall perpendicular - bisector property

A perpendicular bisector of a line segment divides the line segment into two equal - length parts. Here, line \(l\) is the perpendicular bisector of \(RT\) and \(S\) lies on the perpendicular bisector.

Step2: Apply the property

By the property of the perpendicular bisector, any point on the perpendicular bisector of a line segment is equidistant from the endpoints of the line segment. Since \(S\) is on the perpendicular bisector of \(RT\), we have \(SR = ST\).

Answer:

C. \(\overline{SR}\)