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Fallacy

Which one of ...

Question

Which one of the following statement is true for the given circle?

A

¯ ¯¯¯¯¯¯¯ ¯ C D ≅ ¯ ¯¯¯¯¯¯ ¯ A B

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B

¯ ¯¯¯¯¯¯¯ ¯ C D \neq ¯ ¯¯¯¯¯¯ ¯ A B

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C

ˆ C D ≅ ¯ ¯¯¯¯¯¯ ¯ A B

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D

¯ ¯¯¯¯¯¯¯ ¯ C D ≅ ˆ A B

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Solution

The correct option is A $¯ ¯¯¯¯¯¯¯ ¯ C D ≅ ¯ ¯¯¯¯¯¯ ¯ A B$
In a circle, or congruent circles, congruent chords have congruent arcs.
$¯ ¯¯¯¯¯¯¯ ¯ C D ≅ ¯ ¯¯¯¯¯¯ ¯ A B$ is the correct statement for the given circle.

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