Question

Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.

Given: XN = NZ and NY = NW

Answer 1

Because N is the midpoint of the two diagonals so the quadrilateral must be a parallelogram

Answer 2

Explanation:

XN = NZ & NY = NW

This shows that diagonals XZ & WY bisect each other.

So, this quadrilateral is a parallelogram.