Prove that the points `(3,\ -2),\ (4,\ 0),\ (6,\ -3)` and `(5,\ -5)` are the vertices of a parallelogram.

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

Prove that the points (4,\ 5),\ (7,\ 6),\ (6,\ 3),\ (3,\ 2) are the vertices of a parallelogram. Is it a rectangle.

Show that the points A(1,\ 0),\ \ B(5,\ 3),\ \ C(2,\ 7) and D(-2,\ 4) are the vertices of a parallelogram.

Prove that the points (3, 2), (6, 3), (7, 6) and (4, 5) are the vertices of a parallelogram. Is it a rectangle?

Prove that the points (3, 2), (6, 3), (7, 6) and (4, 5) are the vertices of a parallelogram. Is it a rectangle?

Prove that the points (-1, -2), (-2, -5), (-4, -6) and (-3, -3) are the vertices of a parallelogram.

Prove that the points (-1, -2), (-2, -5), (-4, -6) and (-3, -3) are the vertices of a parallelogram.

Show that the points (3, -1, -1), (5,-4, 0), (2, 3, -2) and ( 0, 6, -3) are the vertices of a parallelogram*.

Prove that the points (2, - 1), (0, 2), (3, 3) and (5,0) are the vertices of a parallelogram. Also find the angle between its diagonals.

Prove that the points (-2, -1), (1, 0), (4, 3) and (1, 2) are the vertices of a parallelogram.