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Using ruler and compasses, draw AB = 6.4 cm. Locate its mid point by geometric construction.

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1. Draw a line segment \(\overline{PQ}\) = 6.4 cm 

2. Set the compasses as radius with more than half of the length of \(\overline{PQ}\)

3. With A as centre, draw arcs below and above the line segment. 

4. With the same radius and B as centre draw two arcs above and below the line segment to cut the previous arcs. Name the intersecting points of arcs as X and Y. 

5. Join the points X and Y. So, the line l is the perpendicular bisector of AB. 

Hence l is the required perpendicular bisector of AB which meets at M.

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