Question

let l be a line and A be a point not on l. through A, draw a line m parallel to l. 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 enclosr?​

Answer 1

Question :-

let l be a line and A be a point not on l. through A, draw a line m parallel to l. 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 enclosr?

Solution :-

➺ 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.