Question

Let l be a line and Pbe a point not on l. Through P, draw a line m parallel tol. 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 lat S. What shape do the two sets of parallel lines enclose?​

Answer 1

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.