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in Mathematics by (67.5k points)

Show the Construction of the perpendicular bisector of a line segment.

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Consider the line segment PQ to construct the perpendicular bisector. Steps of Construction:

Step 1: Draw a line segment PQ. 

Step 2: With P as centre, draw two arcs on either sides of PQ with radius more the half the length of the given line segment. 

Step 3: Similarly draw two more arcs with same radius from point Q such that they intersect the previous arcs at R and S respectively. 

Step 4: Join the points R and S. 

RS is the required perpendicular bisector of the given line segment PQ.

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