\( O \) is an interior point of a rhombus, \( A B C D \), and \( O \) is equidistant from \( B C...

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\( O \) is an interior point of a rhombus, \( A B C D \), and \( O \) is equidistant from \( B C \) and \( C D \). Then \( O \) lies on
(a) \( \overline{A C} \)
(b) \( \overline{B D} \)
(c) Either (a) or (b)
(d) Neither (a) nor (b)
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