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If a diameter of a circle bisects each of the two chords of a
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If a diameter of a circle bisects each of the two chords of a circle then prove that the chords are parallel.

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If a diameter of a circle bisects each of the two chords of a circle then prove that the chords are parallel.
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It is given that and are the two chords of the circle having as the centre

We know that bisect them at the points and

So we get

and

We know that the alternate angles are equal


We get


Therefore, it is proved that the chords are parallel.
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Question Text
If a diameter of a circle bisects each of the two chords of a circle then prove that the chords are parallel.
Answer TypeText solution:1
Upvotes150