The right thing for the architect to do is to fix the compass at points P and T and draw arcs which intersect below the line.
What are the lines about?
If the architect want to do the right thing, he needs to fix the compass at points P and T and drawing arcs as this is the next step in making constructing the perpendicular line.
Note that perpendicularity is said to be the association between two lines that are said to meet at a right angle (90 degrees) and it is the same with geometric objects.
Therefore a line can be regarded as perpendicular to another only if the two lines are said to intersect at a right angle and the option that obeys this law is option C.
See full question below
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.
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