Will give ! an architect plans to make a drawing of the room of a house. the segment lm represents the floor of the room. he wants to construct a line passing through q and perpendicular to side lm to represent a wall of the room. he uses a straightedge and compass to complete some steps of the construction, as shown below:

which of these is likely to be his next step in constructing the perpendicular line?

fix the compass at l, and draw an arc above the line.
without changing the width of the compass, place the compass at q and draw an arc through l.
fix the compass at points p and t, and draw arcs that intersect below the line.
without changing the width of the compass, place the compass at m and draw an arc.