Question

use the compass and straightedge to construct a segment congruent to $overline{mn}$ with endpoint $p$

Explanation:

Step1: Set compass width

Set the width of the compass to the length of segment $MN$ by placing the compass on $M$ and the pencil - tip on $N$.

Step2: Draw arc from point $P$

With the compass width set as above, place the compass on point $P$ and draw an arc. Mark a point $Q$ on the arc. Segment $PQ$ is congruent to $MN$.

Answer:

A segment $PQ$ congruent to $MN$ is constructed with endpoint $P$.