Theorem 
The opposite sides and opposite interior angles of a parallelogram are equal.
Theorem 
If a quadrilateral has opposite sides equal then it is a parallelogram.
Theorem 
If a quadrilateral has opposite interior angles equal then it is a parallelogram.
Theorem 
The diagonals of a parallelogram bisect each other.
Theorem 
The diagonals of a rhombus are perpendicular.
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