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

Prove that: are the vertices o 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.

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 (0, -1), (6, 7), (-2, 3) and (8, 3) are the vertices of a rectangle.

Show that the points A(6, 1), B(8, 2), C(9, 4) and D(7, 3) are the vertices of a rhombus. Find its area.

Show that the points A(3, 0), B(4, 5), C(-1, 4) and D(-2, -1) are the vertices of a rhombus. Find its area.

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