Question

You are constructing a line perpendicular to and passing through a given point M on using only a compass and straightedge. You have drawn arcs with a compass of set width that intersect on each side of M and marked the two intersection points as P and Q. Which sentence tells you how to perform the next step in the construction?

Place the compass needle on P and set its width to M.

Place the compass needle on M and set its width beyond P.

Place the compass needle on P and set its width beyond M.

Place the compass needle on M and set its width to half the distance bet