\(E, F, G,\) and \(H\) are the vertices of a polygon. Is polygon \(EFGH\) a square?

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\(E, F, G,\) and \(H\) are the vertices of a polygon. Is polygon \(EFGH\) a square?

(1) \(EFGH\) is a parallelogram.

(2) The diagonals of \(EFGH\) are perpendicular bisectors of one another.

Answer: E

Source: Manhattan GMAT
Source: — Data Sufficiency |