Question

choose the statement that does not follow from this given information. $overline{st}$ bisects $overline{pq}$ at $r$ and $pq = 50$ cm. (hint: a bisected segment is divided into two congruent segments at the bisector.) o $r$ is the mid - point of $overline{st}$ o $pr = 25$ o $qr = 25$ o $r$ is the mid - point of $overline{pq}$

Explanation:

Step1: Analyze given info

ST bisects PQ at R, PQ=50cm. Bisecting splits PQ into two equal parts.

Step2: Evaluate R as PQ's midpoint

Since ST bisects PQ at R, R is PQ's midpoint. Thus PR=QR=PQ/2=25cm.

Step3: Check ST's midpoint

Given info only states ST bisects PQ, no data on ST being bisected at R. So R may not be ST's midpoint.

Answer:

A. R is the midpoint of $\overline{ST}$