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 parallelogram.

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

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

Show that the points (1, 7), (4, 2), (-1, -1) a n d ( -4, 4) are the vertices of a square.

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

Show that the points (-3,2),(-5,-5),(2,-3) and (4,4) are the vertices of a rhombus. Find the area of this 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.

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