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

Prove that the points (4, 3), (6, 4), (5, 6) and (3, 5) are the vertices of a square.

Prove that the points (4, 8), (7, 5) , (1, -1) and (-2, 2) are the vertices of a parallelogram.

Prove that the point (4, 3), (6, 4), (5, 6) and (3, 5) asre the vertices of a square.

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

Prove that the points (3,\ -2),\ (4,\ 0),\ (6,\ -3) and (5,\ -5) 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.

Prove that the points (6, 8), (3, 7), (-2, -2), (1, -1) are the vertices of a parallelogram.

Prove that the points (4, 8), (0, 2) (3, 0) and (7, 6) are the vertices of a rectangle.

Show that the points A(2, 1), B(5, 2). C(6, 4) and D(3, 3) are vertices of a parallelogram. Is this figure a rectangle?