Geometry

Question Analysis:
This question requires applying the diagonal bisection property to classify the quadrilateral.

Key Concept Explanation:
If the diagonals of a quadrilateral bisect each other, it must be a parallelogram.
Other options (rhombus, rectangle, square) are specific types of parallelograms but require additional conditions.

Step-by-Step Solution:
Given: AE = CE and BE = DE ⇒ diagonals bisect each other.
By definition, this guarantees ABCD is a parallelogram.
Without info on angles or side lengths, we cannot conclude it is a rhombus, rectangle, or square.

Option Analysis:
A, B, D: Incorrect. These require extra conditions (equal sides for rhombus/square, right angles for rectangle/square).
C: Correct. The given c...