Geometry

Question Analysis:
This question involves analyzing the geometric meaning of diagonals bisecting each other.
The main focus is on using midpoint intersection as a proof condition.

Key Concept Explanation:
When diagonals bisect each other in a quadrilateral, they divide each other into equal halves, which is a defining property of parallelograms.

Step-by-Step Solution:
The point of intersection E being the midpoint of both diagonals implies bisection.
This satisfies the condition: If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Option Analysis:
A: Incorrect – both diagonals are bisected.
B: Incorrect – this applies to rectangles or squ...