Question

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

Explanation:

Step1: Recall the property of perpendicular bisector

A point on the perpendicular bisector of a line segment is equidistant from the endpoints of the line segment. Here, \(S\) is on the perpendicular bisector of \(RT\) (since \(SX\perp RT\) and \(RX = XT\)).

Step2: Apply the equidistant property

By the property of the perpendicular bisector, \(SR=ST\).

Answer:

\(\overline{SR}\)