Write True or False and justify your answer in each of the following: Two chords $AB$ and $CD$ of a circle are each at distances $4 \ cm$ from the centre. Then $AB = CD$.
(A) We know that chords equidistant from the centre of a circle are equal in length.
Given that two chords $AB$ and $CD$ of a circle are each at a distance of $4 \ cm$ from the centre,they are equidistant from the centre.
Therefore,according to the theorem,the chords must be equal.
Hence,$AB = CD$.
The given statement is True.
Given that two chords $AB$ and $CD$ of a circle are each at a distance of $4 \ cm$ from the centre,they are equidistant from the centre.
Therefore,according to the theorem,the chords must be equal.
Hence,$AB = CD$.
The given statement is True.
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