Question

. Draw a circle with centre 0 and radius 3.5 cm. Draw a chord PQ. Construct the perpendicular bisector
of PQ and check whether it passes through centre 0.
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Answer 1

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Answer 2

Answer:

The perpendicular bisector of PQ passes through centre O.

Step-by-step explanation:

Explanation:

Given , a circle of radius 3.5cm

and a chord PQ.

Step1:

Draw a circle with centre O as centre of radius 3.5cm

Now draw a chord PQ of the circle .

Take P as centre ,using compass draw an arc with radius more than the half of the length of PQ

Take Q as centre , draw an arc which cut the previous arc with same radius

Now, plot A andB at the intersecting point of the arc .

Step2:

Join the point A and B .

Here we see that the line AB cut  the chord  PQ

Therefore AB is the perpendicular bisector of PQ and also the perpendicular bisector AB passes through the centre O of the circle .

Final answer:

Hence , the perpendicular bisector of chord PQ passes through centre O