Prove or disprove that the quadrilateral defined by the points (0, −2), (−1, 1), (−3, −3), (−4, 0) is a square.

Prove or disprove that the quadrilateral defined by the points (5, −1), (6, 3), (1, 1), (2, 5) is a parallelogram.

Prove or disprove that the quadrilateral defined by the points (7, 2), (5, 4), (4, 1), (2, 3) is a rhombus.

Prove or disprove that the point (4, −1) lies on the interior of the circle centered at the point (3, 2) that passes through the point (1, −1).

Prove or disprove that the point (2, 4) lies on the exterior of the circle centered at the point (1, 2) that passes through the point (3, 3).