An architect plans to make a drawing of the room of a 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 straightedge and compass to complete some steps of the construction, as shown below:

A line segment LM is drawn. A point Q is below L. A small arc intersects LM on the left of L at P. A compass is fixed at Q and is shown making an arc at P.

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

Fix the compass at Q and draw an

Question

An architect plans to make a drawing of the room of a 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 straightedge and compass to complete some steps of the construction, as shown below:

A line segment LM is drawn. A point Q is below L. A small arc intersects LM on the left of L at P. A compass is fixed at Q and is shown making an arc at P.

Which of these is likely to be his next step in constructing the perpendicular line?

 Fix the compass at Q and draw an