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

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

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

Answer

Explanation:

Step1: Analyze the properties of the perpendicular bisector

Since line (m) is the perpendicular bisector of (QR), any point on line (m) is equidistant from (Q) and (R).

Step2: Apply the property to points (T)

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

Answer:

(\overline{TR})