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

Answer:

A. $\overline{SR}$

Explanation:

Step1: Observe the diagram

The line $m$ is a perpendicular - bisector of $\overline{QR}$.

Step2: Recall property of perpendicular - bisector

Any point on the perpendicular - bisector of a line segment is equidistant from the endpoints of the line segment.

Step3: Identify equal line segments

Since point $S$ and point $T$ are on the perpendicular - bisector $m$ of $\overline{QR}$, we have $\overline{TQ}=\overline{TR}$ and $\overline{SQ}=\overline{SR}$. So the line segment with the same measure as $\overline{TQ}$ is $\overline{TR}$.