Prove that the points ( - 7 , - 3) , ( 5 , 10) , ( 15 , 8) and ( 3 , - 5) taken in order are the corners of a parallelogram .
`(AS_(2))`

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) , ( - 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))

If ( 1 , 2) , ( 4 , y) , ( x , 6) and ( 3 , 5) are the vertices of a parallelogram taken in order, find x and y . (AS_(4))

If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

Verify that the points ( 1 , 5) , (2 , 3) and ( - 2 , -1) are collinear or not . (AS_(2))

The points (3,2,-4 ),( 5,4,-6 ) , (9,8,-10 )are

Show that the four points (5,-1,1),(-1,-3,4) (1,-6,10) and (7,-4,7) taken in order form a rhombus.