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Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.
Given: XN = NZ and NY = NW
Yes, we can determine that the quadrilateral must be a parallelogram based on the given information.
In a parallelogram, opposite sides are congruent.
Since XN = NZ and NY = NW, we can infer that opposite sides of the quadrilateral are congruent.
Thus, the quadrilateral satisfies the condition for being a parallelogram.