Prove that the points `A(2,\ 3),\ \ B(-2,\ 2),\ \ C(-1,\ -2),` and `D(3,\ -1)` are the vertices of a square `A B C D` .

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

Prove that the points A(2,3),quad B(-2,2),quad C(-1,-2), and D(3,-1) are the vertices of a square ABCD .

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

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

Show that the points : A (0,- 2), B (3, 1), C (0, 4) and D (- 3, 1) are the vertices of a square ABCD.

Show that A(3, 2), B(0, 5), C(-3, 2) and D(0, -1) are the vertices of a square.

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

Show that the points A(3, 5), B(6, 0), C(1, -3) and D(-2, 2) are the vertices of a square ABCD.

If the points A(1,\ -2),\ \ B(2,\ 3),\ \ C(-3,\ 2) and D(-4,\ -3) are the vertices of parallelogram A B C D , then taking A B as the base, find the height of the parallelogram.

Show that the points A(2, 1), B(0,3), C(-2, 1) and D(0, -1) are the vertices of a square.