Let l be a line and …

Steps of Construction

1. Draw a line l and a point P not on it.
2. Take any point A on l.
3. Join A to P.
4. With A as a centre and a convenient radius, draw an arc cutting l at B and AP at C.
5. Now with P as a centre and the same radius as in step 4, draw an arc DE cutting PA at T.
6. Place the pointed tip of the compasses at B and adjust the opening so that the pencil tip is at C.
7. With the same opening as in step 6 and with T as a centre, draw an arc cutting the arc DE at F.
8. Now join PF to draw a line m.
9. Join P to any point Q on l.
10. Choose any point R on m.
11. Join R to Q.
12. With Q as a centre and a convenient radius, draw an arc cutting PQ at L  and RQ at M.
13. Now with R as a centre and the same radius as in step 12, draw an arc GH cutting RQ at I.
14. Place the pointed tip of the compasses at L and adjust the opening so that the pencil tip is at M.
15. With the same opening as in step 14 and with I as a centre, draw an arc cutting the are GH at J.
16. Now join RJ to draw a line n. Then line n || line PQ.
    Let the line n meet the line l at S. Then, the shape enclosed by the two sets of parallel lines is a parallelogram.