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Select the correct answer.

Given: In quadrilateral WXYZ, diagonals bisect each other at point A.

Prove: Quadrilateral WXYZ is a parallelogram.

A quadrilateral WXYZ, where the center of the quadrilateral is A. Diagonal lines run from X through A to Z and from W through A to Y. What is the missing statement in this proof?

Answer :

Final answer:

If the diagonals of the quadrilateral WXYZ bisect each other, it's a condition sufficient to prove that WXYZ is a parallelogram

Explanation:

In a quadrilateral, if the diagonals bisect each other, then that quadrilateral is a parallelogram. Given in the question, quadrilateral WXYZ with center point A, the diagonals XZ and WA bisect at A. This condition already matches the definition of a parallelogram where the diagonals bisect each other at some point. Thus, we can conclude that quadrilateral WXYZ is, in fact, a parallelogram.

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