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m and n  are any two non-parallel lines and l  is another line intersecting them at A   and B. 
  
Such intersecting line (l) is called as transversal line.
  
A transversal line is a line that intersects two lines at distinct points.
  
NOTE:
  
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The line l   is not a transversal to the lines m   and n,    but it is a transversal to the pair of lines m and o , n and o
  
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Line l does not intersect the lines m and n at distinct points. So, it is not a transversal line.