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in Geometry by (42.2k points)
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Draw a line segment PQ = 5.8 cm and construct its perpendicular bisector using ruler and compasses.

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Steps of construction : 

1. Draw a line segment \(\overline{PQ}\) = 5.8 cm. 

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

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

4. With the same radius and Q 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 I is the perpendicular bisector of PQ.

Hence l is required perpendicular bisector of PQ which meets at A.

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