Question

Let L be a line and P be a point not on L through P, draw a line 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 anclose?
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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