The steps below describe the construction of a line ag which is parallel to segment pq and passes through a point a outside of pq. which statement describes the next step?

1. adjust the width of the compass equal to be and draw an arc from point f which intersects the arc drawn from point a in point g

2. adjust the width of the compass equal to de and draw an arc from point f which intersects the arc drawn from point a in point g.
3. adjust the width of the compass equal to ae and draw an arc from point f which intersects the arc drawn from point a in point g.

The correct answer is:

2)    adjust the width of the compass equal to de and draw an arc from point f which intersects the arc drawn from point a in point g.

explanation:

from the steps that we have, the next thing we need is another arc to intersect the one from point f.  the purpose of this arc is to give us point g, through which we will draw our line ag.   

in order to do this, we will need the compass the distance from b to e; then we will put it at point f, in order to intersect the arc; draw the arc, label the point of intersection g, and connect a to g with a line.