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True or False? Two chords in the same circle are congruent if and only if the associated central angles are congruent

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audreyn06

Answer: False

Step-by-step explanation:

Two chords in the same circle are congruent if and only if they are equidistant from the center of the circle (i.e., they have the same length).

Congruent central angles (angles with the same measure) do not guarantee that the chords they intercept are congruent.

Two chords can have congruent central angles but different lengths if they are not equidistant from the center of the circle.

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