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