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.

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.

aviana18 · Answer

Which of these is likely to be his next step in constructing the perpendicular line?

 Fix the compass at Q and draw an arc below the line.

 Fix the compass at L and draw an arc above the line.

 Without changing the width and position of the compass, draw an arc between L and M.

 Without changing the width of the compass, place the compass at M and draw an arc.