An architect plans to make a drawing of the room of the house the segment lm represents the ceiling 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 straight edge and compass to complete some steps of the construction is down below which of these is likely to be his next step in constructing the perpendicular line

Option C. Fix the compass at points P and T and draw arcs which intersect below the line.

Step-by-step explanation:

In order to to construct a perpendicular line, the horizontal line has to be bisected (divided) into two. In other words, he has to construct a line such that:

Lx =

This can be done by having one end of the compass on the end of the horizontal line LM. An arch is constructed using the compass at both sides of line LM (top and bottom)

The compass point is then placed on the other end of the line and and arch is drawn. The two arcs will intersect at two points. Join the two points with a straight line and that will be the perpendicular line the bisects the line LM. the perpendicular line forms a right angle with the horizontal line LM.