Question

in the diagram, $overline{sr}$ is the perpendicular bisector of $overline{pq}$. given this information, which statement can be proven to be true? $prcong qr$ $srcong prcong qr$ $angle sqrcongangle qrs$ $angle sqrcongangle qrscongangle spr$

Explanation:

Step1: Recall perpendicular - bisector property

A point on the perpendicular bisector of a line segment is equidistant from the endpoints of the line segment. Since $\overline{SR}$ is the perpendicular bisector of $\overline{PQ}$, point $R$ is on the perpendicular bisector of $\overline{PQ}$.

Step2: Apply the property

By the perpendicular - bisector theorem, we have $PR = QR$.

Answer:

A. $PR\cong QR$