Question

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

Answer 1

Steps of construction:

$\left(i\right)$ Draw a circle with centre $C$ and radius $3.4$ cm.

$\left(ii\right)$ Draw any chord $barAB$

$\left(iii\right)$ Taking $A$ and $B$ as centers and radius more than half of $AB$, draw two arcs which cut each other at $P$ and $Q$.

$\left(iv\right)$ Join $PQ$. Then $PQ$ is the perpendicular bisector of $AB$.

$\left(v\right)$ This perpendicular bisector of $barAB$ passes through the centre $C$ of the circle.

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