For a shape to be considered a parallelogram it has to meet the following conditions:
0. The opposite sides must be equal
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1. The opposite sides are equal
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2. Adjacent sides are supplementary
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3. The diagonals bisect each other
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4. The opposite sides are parallel
For the quadrilateral to be considered a parallelogram then, the conditions that should be met are:
MN=QP and MQ=NP
MN || QP and MQ || NP
The diagonals MP and NQ bisect each other.
∠M=∠P and ∠N=∠Q
From the given options, the second one and the third one are not enough to determine MNPQ as a parallelogram
