Let ABCD be a parallelogram such that the coordinates of its three vertices A, B, C are (1, 1), (3, 4) and (-2, 8), respectively. Then, the coordinates of the vertex D are

Options

1. (-4, 5)
2. (4, 5)
3. (-3, 4)
4. (0, 11)

Correct Answer

(-4, 5)

Explanation

In a parallelogram, diagonals bisect each other. The midpoint of AC equals the midpoint of BD. Using this property with the given coordinates, we can find D at (-4, 5).

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