Question
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 $C.$
✓
Answer
$i.\ $Draw a point with a sharp pencil and mark it as .$C$
$ii.\ $Open the compasses for the required radius $3.4\ cm,$ by putting the pointer on 0 and opening the pencil upto $3.4\ cm.$
$iii.\ $Place the pointer of the compasses at $C.$
$iv.\ $Turn the compasses slowly to draw the circle.
$v.\ $Draw any chord $\overline{AB}$ of this circle.
$vi.\ $With $A$ as centre, using compasses, draw an arc. The radius of this arc should be more than half of the length of $\overline{AB}$.
$vii.\ $With the same radius and with $B$ as centre, draw another arc using compasses. Let it cut the previous arcs at $D$ and $E.$
$viii.\ $Join $\overline {DE}$. Then $\overline {DE}$ is the perpendicular bisector of the line segment $\overline{AB}$. On examinating, we find that it passes through $C.$
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