WXYZ is a parallelogram in the coordinate plane. The vertices for the parallelogram are W(0,0), (b,c), Y (a + b,c), and Z(a,0), where a > 0,b > 0, and
c> 0
What set of statements prove that the diagonals of the parallelogram bisect each other?
O
O
The length of WY and XZ is V/ (a + b)? + o?. The length of the diagonals are the same, so the diagonals bisect each other.
The midpoint of WY and XZ is (at b
*+ %). The midpoints of the diagonals have the same coordinates, so the diagonals bisect each other.
The midpoint of WY and XZ is (a + b + C.0). The midpoints of the diagonals have the same coordinates, so the diagonals bisect each other.
The lengths of WY and XZ are V (a+b)?+ c? and V (a -b)? + c2, respectively. The length of the diagonals are different so the diagonals