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Equidistant Chord Theorem

When EA = AH, what distance did you find for CD and FG?

Can you move F or G so that EA = AH and this is a different distance from your question above? If yes, what are your new values of CD and FG? If no, why do you think this is not possible?

If the distance from the center point of a circle to two different chords is the same, what do you know about the chords?