Question

point q is on line segment (overline{pr}). given (pq = 2) and (qr=14), determine the length of (overline{pr}).

Explanation:

Step1: Recall segment - addition postulate

If point Q is on line segment $\overline{PR}$, then $PR = PQ+QR$.

Step2: Substitute given values

Given $PQ = 2$ and $QR = 14$, we substitute into the formula: $PR=2 + 14$.

Step3: Calculate the result

$PR=16$.

Answer:

16