Use the diagonals to determine whether a parallelogram with vertices J(−7,7), K(−2, 2), L(−3,−5), and M(−8,0) is a rectangle, rhombus, or square. Give all the names that apply. JL = MK, so JKLM is a rectangle or a square. The slope of JL = −3/2 and the slope of MK = 1/3, so JKLM is a rectangle.

JL = MK, so JKLM is a rectangle or a square. JK = KL = LM = MJ = 8, so JKLM is a square.

JL ≠ MK, so JKLM is neither a rectangle nor a square. The slope of JL = −3 and the slope of MK = 1/3, so JL ⊥ MK. JKLM is a rhombus.

JL ≠ MK, so JKLM is neither a rectangle nor a square. The slope of JL = −3 and the slope of MK = −1/3, so JKLM is not a rhombus.