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(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 rhombus.

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

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

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 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(7, 3), B(6, 1), C(8, 2) and D(9, 4) taken in that order are vertices of a parallelogram.

Show that the points A(7, 3), B(6, 1), C(8, 2) and D(9, 4) taken in that order are vertices of a parallelogram.