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Alice is designing a book shelf. The segment LQ represents the base of the book shelf. Alice wants to construct a line to represent a rack passing through R and parallel to side LQ. She uses a straightedge and compass to complete some steps of the construction, as shown below:
A line segment LQ is drawn. A transversal that intersects LQ at N is drawn. T is a point at the other end of the transversal. A compass is set at R and an arc is drawn that cuts NT at T.
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Which of these is likely to be her next step in constructing the rack parallel to LQ?
Place the compass at S and adjust its width to point P.
Without changing the width of the compass, fix the compass at P and draw an arc.
Without changing the width of the compass, place the compass at S or P and draw an arc similar to the one drawn.
Place the compass at N and adjust the width to a length that is greater than the length of segment NS.