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.
http://go.flvs.net/courses/1/flvs_57_3641_12419/ppg/respondus/pool_Geom_3641_0100_Subtest_03_04/image0014e168310.jpg
Which of these is likely to be his next step in constructing the parallel line?
*(options in next comment)*

Question

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.
 http://go.flvs.net/courses/1/flvs_57_3641_12419/ppg/respondus/pool_Geom_3641_0100_Subtest_03_04/image0014e168310.jpg
Which of these is likely to be his next step in constructing the parallel line?
*(options in next comment)*

anonymous · Answer

1) Place the compass at N and adjust the width to the widest point on arc PS.
2) Place the compass at N and adjust the width to a length that is greater than the length of segment NS.
3) Without changing the width of the compass, place the compass at Q and draw an arc similar to the one drawn.
4) Without changing the width of the compass, place the compass at S or P and draw an arc similar to the one drawn.