Question 6
Draw a circle with centre C and radius 3.4 cm. Draw any chord ¯¯¯¯¯¯¯¯AB. Construct the perpendicular bisector ¯¯¯¯¯¯¯¯AB and examine if it passes through C.
Question 6
Draw a circle with centre C and radius 3.4 cm. Draw any chord ¯¯¯¯¯¯¯¯AB. Construct the perpendicular bisector ¯¯¯¯¯¯¯¯AB and examine if it passes through C.
A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of the line segment and a chord of a circle is a line segment whose endpoints both lie on the circle.
Steps of construction:
(i) Draw a circle with centre C and radius 3.4 cm.
(ii) Draw any chord ¯¯¯¯¯¯¯¯AB.
(iii) Taking A and B as centres and radius more than half of ¯¯¯¯¯¯¯¯AB, draw two arcs which cut each other at P and Q.
(iv) Join PQ. Then PQ is the perpendicular bisector of ¯¯¯¯¯¯¯¯AB.
(v) This perpendicular bisector of ¯¯¯¯¯¯¯¯AB passes through the centre C of the circle.
Hence, we get the figure as shown below:
A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of the line segment and a chord of a circle is a line segment whose endpoints both lie on the circle.
Steps of construction:
(i) Draw a circle with centre C and radius 3.4 cm.
(ii) Draw any chord ¯¯¯¯¯¯¯¯AB.
(iii) Taking A and B as centres and radius more than half of ¯¯¯¯¯¯¯¯AB, draw two arcs which cut each other at P and Q.
(iv) Join PQ. Then PQ is the perpendicular bisector of ¯¯¯¯¯¯¯¯AB.
(v) This perpendicular bisector of ¯¯¯¯¯¯¯¯AB passes through the centre C of the circle.
Hence, we get the figure as shown below:
