Question
Draw a circle with centre at point $O$ and radius $5\ cm.$ Draw its chord $AB,$ draw the perpendicular bisector of line segment $AB.$ Does it pass through the centre of the circle$?$
✓
Answer
Draw a point $O.$ With $O$ as centre and radius equal to $5\ cm,$ draw a circle.
Take any two points $A$ and $B$ on the circumference of the circle and draw a line segment with $A$ and $B$ as its end points.
$AB$ is the chord of the circle.
With $A$ as centre and radius more than half of $AB,$ draw arcs on both sides of $AB.$
With the same radius and $B$ as a centre, draw arcs on both sides of $AB,$ cutting the previous two arcs at $E$ and $F.$
Draw a line passing through $E$ and $F.$
Line $EF$ passes through the centre of the circle $O.$
Take any two points $A$ and $B$ on the circumference of the circle and draw a line segment with $A$ and $B$ as its end points.
$AB$ is the chord of the circle.
With $A$ as centre and radius more than half of $AB,$ draw arcs on both sides of $AB.$
With the same radius and $B$ as a centre, draw arcs on both sides of $AB,$ cutting the previous two arcs at $E$ and $F.$
Draw a line passing through $E$ and $F.$
Line $EF$ passes through the centre of the circle $O.$
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