Question

Let l be a line and P be a point on l. Through P, draw a line m 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 *. What shape do the two sets of parallel lines enclose ?

Answer 1

Steps of constructions

1. Draw a line l and take a point P not on it. Take any point Q on l. Join Q to P

2. Draw a line m parallel to the line l, as shown in figure. line m || line l.

3. Join P to any point Q on l.

4. Choose any point R on m & Join R to Q.

5. Through R, draw a line n parallel to the line PQ. Let the line n meet the line l at *.

6. The shape enclosed by the two sets of parallel lines is a parallelogram.