is this a rectangle

Question

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

1. A.
2. parallelogram
3. 
   
4. B.
5. rhombus
6. 
   
7. C.
8. square
9. 
   
10. D.
11. rectangle

Answer 1

Your question is missing some detail, but I'm guessing you mean that R is the midpoint of WY and XZ. Since WR = XR, that means that the two diagonals are congruent, which means that the figure is either a square or a rectangular. But we don't know anything about the side lengths, so we can't claim that it's a square. That just leaves rectangle as the only answer left.