Question

4. Let l be a line and P be a point not on
line 1. Through P, draw a line m parallel
to line 1. Now, join P to any point Q
on line 1. Mark any point R on line l.
Through R, draw a line parallel to PQ.
Let this meet line m at S. What shape do
the two sets of parallel lines enclose?​

Answer 1

Answer:

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