Question

5. Let l be a line and A be a point not on I. Through A, draw a line m parallel to I. Now, join A to any point B on l. Choose any other point C on m. Through C, draw a line parallel to AB. Let this meet l at D. 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