Question:
Draw a circle with center at point O and radius 5 cm. Draw its chord AB, the perpendicular bisector of line segment AB. Does it pass through the center of the circle?
Solution:
Steps of construction:
1. Keeping O as center and radius as 5 cm draw a circle.
2. Draw a chord AB.
3. Keeping A as center and radius more than half of AB draw arcs one on each side of chord AB.
4. Keeping B as center and the same radius draw arcs cutting the previous arcs at points P and Q respectively.
5. Join the points P and Q.
Therefore the perpendicular bisector PQ of chord AB passes through the center of the circle.
