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Prove that the points A(4,3),B(6,4),C(5,...

Prove that the points `A(4,3),B(6,4),C(5,-6)a n d D(-3,5)` in that order are the vertices of a parallelogram.

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State whether the following statements are true or false. Justify your answer: The points A(4,3), B(6,4), C(5,-6) and D(-3,5) are vertices of a parallelogram.

Using slopes, prove that the points A(-2,-1) , B(1,0) , C(4,3) and D(1,2) are the vertices of a parallelogram.

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Show that the points A(1,\ -2),\ \ B(3,\ 6),\ \ C(5,\ 10) and D(3,\ 2) are the vertices of a parallelogram.

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Prove that the point A(1,3,0),\ B(-5,5,2),\ C(-9,-1,2)\ a n d\ D(-3,-3,0) taken in order are the vertices of a parallelogram. Also, show that ABCD is not a rectangle.

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