Prove that `(4,\ -1),\ (6,\ 0),\ (7,\ 2)` and `(5,\ 1)` are the vertices of a rhombus. Is it a square?

Prove that the poins (-4, -3), (-3, 2), (2, 3) and (1, -2) are the vertices of a rhombus.

Show that A(-3,\ 2),\ \ B(-5,\ -5),\ \ C(2,\ -3) and D(4,\ 4) are the vertices of a rhombus.

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

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

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

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 (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 (-2, -1), (1, 0), (4, 3) and (1, 2) 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.