Simple Construction


   
 
Construction - 7
To construct a perpendicular to a line from a point outside it
 
 
A line AB and a point O outside it.
 
It is required to construct a perpendicular to AB from O.
 
 
 
(i) With O as centre, taking any suitable radius, draw an arc to cut AB at S and T.
 
(ii) With S and T as centres and same radius, draw 2 arcs on the same side of AB to cut each other at P.
 
(iii) Join OP to cut AB at M.
 
Then OM is perpendicular to the line AB from a point O.
 
 
     
   
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