The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, -1), and K(1, 1),
To determine if it is a parallelogram, use the converse
of the parallelogram diagonal theorem. This states that
if the diagonals|
quadrilateral is a parallelogram.
v, then the
The midpoint of HJ is
(2, 2).
v and the midpoint of IK is
Therefore, HIJK is a parallelogram because the
diagonals
they bisect each other.
v, which means