Question

The diagonals of quadrilateral WXYZ intersect at R. If R is the midpoint of WY and XZ, which additional statement shows that WXYZ is a rectangle?

A. WX=YZ
B. WY⊥XZ
C. m∠WXY=90∘
D. WR=XR

Answer 1

The additional statement that shows WXYZ is a rectangle is WR = XR.

Step-by-step explanation:

Given that R is the midpoint of both WY and XZ, we can determine the additional statement that shows WXYZ is a rectangle.

If WXYZ is a rectangle, then its opposite sides must be congruent and its diagonals must bisect each other. Since R is the midpoint of both WY and XZ, this means that WR = XR and WZ = ZY.

Therefore, the additional statement that shows WXYZ is a rectangle is option D. WR = XR.