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 to more than half of PQ, draw arc on both the sides of PQ.

3. With Q as 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 $\angle$AOQ=${90}^{\circ }$. Then the line AB is perpendicular bisector of PQ.