Use the diagonals to determine whether a parallelogram with vertices W(−3,1), O(5,9), R(9,5), and K(1,−3) is a rectangle, rhombus, or square. Give all the names that apply. WR ≠ OK, so WORK is neither a rectangle nor a square. The slope of WR = −1/3 and the slope of OK = 3, so WORK is a rhombus.

WR = OK, so WORK is a rectangle or a square. The slope of WR = 1/3 and the slope of OK = −3, so WR ⊥ OK. WORK is a rhombus. Since WORK is a rectangle and a rhombus, it is also a square.

WR ≠ OK, so WORK is neither a rectangle nor a square. The slope of WR = 1/3 and the slope of OK = 3, so the diagonals are not perpendicular. WORK is not a rhombus.

WR = OK, so WORK is a rectangle or a square. The slope of WR = 1/3 and the slope of OK = 3, so the diagonals are not perpendicular. WORK is a rectangle.