The points A (4, 3), B (6, 4), C (5, - 6) and D ( - 3, 5) are vertices of a parallelogram.

False

As we know that in a parallelogram, opposite sides are equal.

By using the distance formula calculates the distance between the sides;

As distance between the points (x_{1}, y_{1}) and (x_{2}, y_{2});

Distance between A (4, 3) and B (6, 4);

Distance between B (6, 4) and C (5, - 6),

Distance between C (5, 6) and D ( - 3, 5),

Distance between D ( - 3, 5) and A (4, 3),

Here, as we can see that all sides AB, BC, CD and DA are different.

Hence, given vertices can’t be the vertices of a parallelogram.

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