Question

Let AB be a line and P be a point not on AB. Through P, draw a line ST parallel to AB. Now join P to any point Q on AB. Choose any other point R on ST. Through R, draw a line parallel to PQ.

Answer 1

Given :  AB be a line and P be a point not on AB.

To Find : Draw a line ST parallel to AB.

Solution :

Step 1 :  Draw a line  segment AB

Step 2 :  take a  point P outside AB

Step 3 :  Take a point X on on AB

Step 4 : Draw a ray XY passing through P  

Step 5    Using suitable compass width and taking X as center draw an arc intersecting XY at M and XB at  N

Step 6 : Keeping compass width same and taking P as center draw an arc such that it intersect PY at  E

Step 7 : take compass width = MN  and  taking E as as center intersect the arc drawn in previous step at  F

Step 8 : Draw a line segment ST passing through P & F

ST || AB

Use Similar concept to  draw a line parallel to PQ passing through R on ST

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