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Congruence of Arcs

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Question

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If arcs AXB and CYD of a circle are congruent, then AB : CD = ___________.

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Solution

Given:
Arcs AXB and CYD of a circle are congruent

We know, if any two arcs are congruent, then their corresponding chords are equal.
Thus, Chord AB = Chord CD

Hence, AB : CD = 1 : 1.

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