Question

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

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 arc