Question 7
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 if ¯¯¯¯¯¯¯¯AB happens to be the diameter.
Question 7
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 if ¯¯¯¯¯¯¯¯AB happens to be the diameter.
A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of the line segment.
Steps of construction:
(i) Draw a circle with centre C and radius 3.4 cm.
(ii) Draw its diameter ¯¯¯¯¯¯¯¯AB.
(iii) Taking A and B as centres and radius more than half of it, draw two arcs which intersect each other at P and Q.
(iv) Join PQ. Then PQ is the perpendicular bisector of ¯¯¯¯¯¯¯¯AB .
(v) We observe that 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.
Steps of construction:
(i) Draw a circle with centre C and radius 3.4 cm.
(ii) Draw its diameter ¯¯¯¯¯¯¯¯AB.
(iii) Taking A and B as centres and radius more than half of it, draw two arcs which intersect each other at P and Q.
(iv) Join PQ. Then PQ is the perpendicular bisector of ¯¯¯¯¯¯¯¯AB .
(v) We observe that this perpendicular bisector of ¯¯¯¯¯¯¯¯AB passes through the centre C of the circle.
Hence, we get the figure as shown below.
