Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through, R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?
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To construct: A pair of parallel lines intersecting other part of parallel lines Steps of construction: (a) Draw a line l and ,take a point P outside of l (b) Take point Q on line l and join PQ (c) Make equal angle at point P such that ∠Q=∠P (d) Extend line at P to get line m (e) Similarly, take a point R online m, at point R, draw angles such that ∠P=∠R (f) Extended line at R which intersects at S online l. Draw line RS Thus, we get parallelogram PQRS