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 described:

a line segment lm is drawn.
two arcs equidistant from l on line lm are drawn at points p and t.
a point q is just above l.
a compass is fixed at point q and is shown making an arc at t.

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

a.) fix the compass at l and draw an arc above the line.
b.) without changing the width of the compass, place the compass at q and draw an arc through l.
c.) fix the compass at points p and t and draw arcs which intersect below the line.
d.) without changing the width of the compass, place the compass at m and draw an arc.