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?

m∠WXY = 90°

Step-by-step explanation:

A quadrilateral is a polygon with four sides and four angles.

A rectangle is a quadrilateral with two pairs of opposite and parallel sides. The following are properties of a rectangle:

Given quadrilateral WXYZ.  R is the midpoint of WY and XZ.

This means that R is the midpoint of the diagonals WY and XZ. this shows that the diagonals bisect each other.

For quadrilateral WXYZ to be a rectangle, each interior angle must be 90°. Hence m∠WXY = 90°