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14.6k views
in Circles by (49.8k points)

If arcs AXB and CYD of a circle are congruent, find the ratio of AB and CD.

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1 Answer

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by (47.4k points)

According to the question,

We have,

AXB ≅ CYD.

We know that,

If two arcs of a circle are congruent, then their corresponding arcs are also equal.

So, we have chord AB = chord CD.

Hence, we get,

AB/CD = 1

AB/CD = 1/1

AB : CD = 1:1

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