Respuesta :
The statement that two chords in the same circle are congruent if and only if the associated central angles are supplementary is not true.
What are chords?
"The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle. It should be noted that the diameter is the longest chord of a circle which passes through the center of the circle.
Statement: If the angles subtended by the chords of a circle are equal in measure, then the length of the chords is equal."
From the given statement it is clear that the given statement that is two chords in the same circle are congruent if only if the associated central angles are supplementary is false.
Hence, the given statement is false.
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