Construction of segments angles and bisectors What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r?

1. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.

2. Place the point of the compass on point Y and draw an arc that intersects lines r and s. Label the intersections as points M and N.

3. Without changing the width of the compass opening, place the point of the compass on point X and draw an arc that intersects line s. Label the intersection as point P.

4. Place the point of the compass on point M and open it to width MN.

5. With the compass opening set to width MN, place the point of the compass on point P and draw an arc that intersects the arc that was drawn from point X. Label the intersection of the arcs as point Z.

6. Use the straightedge to draw XZ.

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