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

Without using the distance formula, show that the points A (4, 5), B (1, 2), C (4, 3) and D (7, 6) are the vertices of a parallelogram.

Show that four points (1, -2), (3, 6), (5, 10) and (3, 2) are the vertices of a parallelogram.

Show that four points (1, -2), (3, 6), (5, 10) and (3, 2) are the vertices of a parallelogram.

Show that the point A(1, 3, 0), B(–5, 5,, 2), C(–9, –1, 2) and D(–3, –3, 0) are the vertices of a parallelogram ABCD, but it is not a rectangle.

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

Show that the points A(1,2,3),\ B(-1,-2,-1),\ C(2,3,2)a n d\ D(4,7,6) are the vertices of a parallelogram ABCD but not a rectangle.

Show that the points A(1, 2, 3,), B (-1, -2. -1), C(2, 3, 2) and D(4, 7, 6) are the vertices of parallelogram ABCD but it is not a rectangle.