Simple Construction


   
 
Construction - 6
To bisect a given line segment
 
 
AB is a line segment.
 
 
The bisector of AB.
 
 
 
(i) With A as centre and a suitable radius greater than ½ AB of length, draw arcs on either side of AB.
 
(ii) With the same radius and B as centre, cut the previous pair of arcs at points P and Q.
 
(iii) Join PQ.
 
(iv) M is the point of intersection of AB and PQ.
 
(v) PQ bisects AB at M, AM = MB.
 
(vi) \PQ is the perpendicular bisector of AB.
 
 
     
   
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