Question

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

Explanation:

In the diagram, line \( m \) is the perpendicular bisector of segment \( QR \). By the property of perpendicular bisectors, the point \( T \) (on the perpendicular bisector) is equidistant from \( Q \) and \( R \), so \( TQ = TR \). Also, visually, the markings on \( QR \) show it's bisected, and the right angle implies symmetry for \( TQ \) and \( TR \).

Answer:

B. \(\overline{TR}\)