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

Answer

 

 
$1.$Mark any point $C$ on the sheet.
$2.$By adjusting the compasses up to $3.4\ cm$ and by putting the pointer of the compasses at point $C,$ turn the compasses slowly to draw the circle. It is the required circle of $3.4\ cm$ radius.

$3.$Now, mark any chord $\overline{\text{AB}}$ in the circle.

$4.$Taking $A$ and $B$ as centres, draw arcs on both sides of$\overline{\text{AB}}$. Let these intersect each other at $D$ and $E.$

$5.$Join $DE,$ which is the perpendicular bisector of $AB.$
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When $\overline{\text{DE}}$ is extended, it will pass through point $C.$
 

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