Q6.    Draw a circle with centre C and radius 3.4 cm. Draw any chord \overline{AB}. Construct the perpendicular bisector of \overline{AB} and examine if it passes through C.

Answers (1)

The steps of constructions are:

(i) Draw a circle with centre C and radius 3.4 cm.

(ii) Draw any chord \bar{AB}.

(iii) Taking A and B as centres and radius more than half of \bar{AB}, draw two arcs which cut each other at P and Q.

(iv) Join PQ. Then PQ is the perpendicular bisector of \bar{AB}.

This perpendicular bisector of \bar{AB} passes through the centre C of the circle.

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