1.   The quadrilateral below is a parallelogram because_______.
   
    A. the diagonals are perpendicular B. it is a square
    C. the diagonals are not congruent D. the diagonals bisect each other
    Hint

  2.   Find the values of x and y that ensure that the quadrilateral is a parallelogram.
   
    A. x = 80, y = 100 B. x = 40, y = 50
    C. x = 100, y = 80 D. x = 90, y = 90
    Hint

  3.   The coordinates of the vertices of WXYZ are W(-3, 3), X(6, 6), Y(1, 0), and Z(-5, -2).Determine if WXYZ is a parallelogram. Explain.
    A. Yes. The two sets of opposite sides are parallel.
    B. No. is not parallel to .
    C. No. is not parallel to .
    D. Yes. The two diagonals bisect each other.
    Hint

  4.   What value of ensures that QRST is a parallelogram?
   
    A. 37° B. 36°
    C. 117° D. 63°
    Hint

  5.   Find the values of x. and y that ensure that LMNO is a parallelogram.
   
    A. x = 4, y = B. x = , y = 4
    C. x = , y = D. x = 8, y = 1
    Hint