Question

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

Answer 1

Steps of Construction :

1. Draw a line segment PQ = 4.8 cm.
2. With P as centre and radius equal than half of PQ, draw an arc on both the PQ.
3. With Q as the centre and the same radius as taken in step 2, draw arcs on both sides of PQ.
4. Let the arcs intersect each other at point A and B
5. Join A and B.
6. 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.