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\(EFGH\) is a rectangle.
\(EFGH\) has 4 congruent sides.
Diagonal \(FH\) bisects angles \(EFG\) and \(EHG\).
Diagonal \(FH\) is perpendicular to side \(FE\).
Angle \(FEH\) is congruent to angle \(FGH\).