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

You say nothing about how you know that Q is "just above" L, or what that means.

I'd say (c) is the choice. You draw arcs centered at P and T, such that they intersect above and below L. Note that the arcs must have radius greater than LT=LP.

I get the feeling that Q is where the arcs intersect above L, so the intersection below L (at, say, S) means that QS is perpendicular to LM.

Incidentally, constructing LM does not really fit the bill to start with, since either P or T must be beyond the line segment. What it should say is that points L and M are marked on a line extending beyond LM.

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:

UR MOM BROTHER FLAM GO FORM SU TART SAD STORY