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 , then the quadrilateral is a parallelogram.:bisect each other
The midpoint of HJ is and the midpoint of IK is (2, 2).:(2, 2)
Therefore, HIJK is a parallelogram because the diagonals , which means they bisect each other.:have the same midpoint