Question

consider the diagram. which line segment has the same measure as $overline{tq}$? $overline{sr}$ $overline{tr}$ $overline{st}$ $overline{qs}$

Explanation:

Step1: Identify the property of perpendicular bisector

Line \(m\) is the perpendicular bisector of \(QR\). By the property of the perpendicular bisector of a line - segment, any point on the perpendicular bisector is equidistant from the endpoints of the line - segment it bisects.

Step2: Apply the property to the given line - segments

Point \(T\) lies on the perpendicular bisector \(m\) of \(QR\). So, \(TQ = TR\).

Answer:

B. \(\overline{TR}\)