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The diagonals of quadrilateral WXYZ intersect at R. If R is the midpoint of WY and XZ, and WR = XR, what is the most specific quadrilateral that WXYZ can be?

A. Rhombus
B. Square
C. Rectangle
D. Parallelogram

Answer :

Final answer:

Considering the properties of different quadrilaterals, the given characteristics of quadrilateral WXYZ match the most with the properties of a rhombus.

Explanation:

The quadrilateral WXYZ where diagonals WY and XZ intersect at point R, which is the midpoint of WY and XZ, and WR equals XR, is specifically a rhombus.

A rhombus is a type of quadrilateral where both pairs of opposite sides are parallel (which describes a parallelogram), all sides are of equal length, and the diagonals intersect each other at right angles, and bisect each other.

In the given description, it doesn't specify if all angles are right angles or if all sides are of equal length, which would describe a square. Therefore, the most specific quadrilateral that fits our description is a rhombus.

Learn more about Rhombus here:

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