Show that the points ( 1 , 7) , ( 4 , 2) , ( - 1 , -1) and ( - 4 , 4) are vertices of a square . `(AS_(2))`

Show that the points ( - 4 , -7) , ( - 1 , 2) , ( 8 , 5) and ( 5 , -4) taken in order are the vertices of a rhombus. And find its area. (Hint : Area of rhombus =(1)/(2) xx pro-duct of its diagonals ) (AS_(2),AS_(4))

Show that the points (5,-1,1),(7,-4,7),(1,-6,10) and (-1,-3,4) are the vertices of a rhombus.

The three points (2, -4), (4, -2), (7, 1)

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 . (AS_(2))

Show that the points (-4, -7), (-1, 2), (8, 5) and (5, -4) taken in order are the vertices of a rhombus.

Show that the points (4,7,8), (2,3,4) and (-1,-2,1),(1,2,5) are vertices of a parallelogram.

Show that the points (1,-1),(-2,2),(4,8) and (7,5) are the vertices of a rectangle.