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Sum

Draw a line segment PQ = 4.8 cm. Construct the perpendicular bisector of PQ.

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#### Solution

**Steps of Construction :**

- Draw a line segment PQ = 4.8 cm.
- With P as centre and radius equal than half of PQ, draw an arc on both the PQ.
- With Q as the centre and the same radius as taken in step 2, draw arcs on both sides of PQ.
- Let the arcs intersect each other at point A and B
- Join A and B.
- The line AB cuts the line segment PQ at the point O. Here OP = OQ and ∠AOQ = 90°. Then the line AB is a perpendicular bisector of PQ.

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