Question 15 Marks
Draw a circle with center at point O and radius 5cm. Draw its chord AB, draw the perpendicular bisector of line segment AB. Does it pass through the center of the circle?
Answer
View full question & answer→ Steps of construction:
- Keeping O as centre and radius as 5cm draw a circle.
- Draw a chord AB.
- Keeping A as centre and radius more than half of AB draw arcs one on each side of chord AB.
- Keeping B as centre and the same radius draw arcs cutting the previous arcs at points P and Q respectively.
- Join the points P and Q.
Therefore the perpendicular bisector PQ of chord AB passes through the centre of the circle.