Mathematics

Mathematics

Problem

Vertices L(2, −1)L(2,\,-1) and N(6, 9)N(6,\,9) of quadrilateral LMNOLMNO are opposite ends of one diagonal, while M(8, 3)M(8,\,3) is a vertex on the second diagonal. If the diagonals meet at the point P(4, 4)P(4,\,4), which of the following are the coordinates of the remaining vertex OO that will ensure LMNOLMNO is a parallelogram? a) (7, 6)(7,\,6) b) (0, 3)(0,\,3) c) (0, 5)(0,\,5) d) (0, −5)(0,\,-5)

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