Question

select the correct answer from the drop - down menu. using only a compass and a straightedge, you are constructing a line perpendicular to $overline{ab}$ and passing through a given point, $m$, on $overline{ab}$. with a compass of set width, you have drawn arcs that intersect $overline{ab}$ on each side of $m$ and marked the two intersection points as $p$ and $q$. the next step in this construction is to place the compass needle on: p and set its width to m; m and set its width beyond p; p and set its width beyond m; m and set its width to half the distance between p and m

Explanation:

Step1: Recall compass - and - straightedge construction

To construct a perpendicular line through a point on a line, after getting points P and Q, we place compass on P (or Q) and set width beyond M.

Answer:

P and set its width beyond M