If lines AB,AC,AD,AE are drawn parallel to line PQ,Then show that A,B,C,D are collinear points.

We know " If two lines are parallel to the same line, they will be parallel to each other . " or they are parts of the same straight line .

So As given AB | | PQ , AC | | PQ , AD | | PQ and AE | | PQ

Then

AB | | AC | | AD | | AE

â€‹But we can see that all four lines are have one common point A , And we can't draw 4 different lines as they parallel to each other ,

But If A , B , C , D and E are on same line than they can satisfied our given condition and as well as properties of parallel line ,

Hence

**A, B , C , D and E are colinear points ( Hence proved )**

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