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Practical Geometry — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSPractical Geometry5 Marks
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. $ if $\overline{\text{AB}}$ happens to be a diameter.
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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 $AB$.

It can be observed that $\overline{\text{DE}}$ is passing through point $C$ of the circle.
 

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