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Answer:
J +L = K +M = (-1, 3)
Step-by-step explanation:
The figure JKLM is a parallelogram if the midpoints of the diagonals are the same point. That is, ...
(J +L)/2 = (K +M)/2
Multiplying by 2 makes this a simpler test:
J +L = K +M
In this quadrilateral, those sums are ...
J +L = (-2, -2) +(1, 5) = (-2+1, -2+5) = (-1, 3)
K +M = (-3, 3) +(2, 0) = (-3+2, 3+0) = (-1, 3)
The midpoints are the same, so the quadrilateral is a parallelogram.
