Final answer:
A rotation of -270 degrees about the origin is equivalent to a 90-degree clockwise rotation. Each point of a quadrilateral would move to a unique position unless they all started at the origin. None of the provided options correctly describe the result of a -270-degree rotation of a quadrilateral.
Step-by-step explanation:
When Quadrilateral JKLM is rotated -270 degrees about the origin, each point of the quadrilateral will move according to the rules of rotation on the coordinate plane. A -270-degree rotation is equivalent to a 90-degree rotation in the clockwise direction. Given that the rotation is about the origin, every point's new position will be determined by this rule: if a point's position before rotation is (x, y), after a 90-degree clockwise rotation, its new position will be (y, -x).
However, it seems from the options provided that there may be a misunderstanding, as none of the options reflect a typical result of such a rotation. Normally, each corner point of the quadrilateral would have a unique new position unless all points were already at the origin before rotation. Since none of the answer choices correctly describe the result of this rotation of a quadrilateral about the origin, the question itself may have been improperly constructed or there is missing information regarding the initial coordinates of points J, K, L, and M.