Step 3: Find the slope of BC. The slope of BC is .
Step 4: Find the slope of AD. The slope AD is .
The quadrilateral is a trapezoid because .
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.
Therefore, HIJK is a parallelogram because the diagonals , which means they bisect each other.
The midpoint of HJ is and the midpoint of IK is (2, 2).
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