An architect plans to draw a rectangular patio with segment LM representing one side of the rectangle. He wants to construct a line passing through Q and parallel to side LM. He uses a straightedge and compass to complete some steps of the construction as shown.

Question

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

Answer 1

A. Draw a line from Q to the midpoint of LM.
B. Draw a line from Q to the endpoint of LM.
C. Draw a line from Q to the intersection of the two arcs.
D. Draw a line from the midpoint of LM to the intersection of the two arcs.

Answer: B. Draw a line from Q to the endpoint of LM.