The point A(5,-1,1), B(7,-4,7), C(1,-6,10), D(-1,-3,4) form

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

The points A(2,-1,4),B(1,0,-1),C(1,2,3) and D(2,1,8) form a

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

The points (2,5,-4) , (4,7,-6) , (1,4,-3) are

Match the following {:(I.,"The points (3,2,1),(5,6,5),(2,1,2),(0,-3,-2) form","a) square "),(II.,"The points (1,2,2),(2,-1,0),(1,1,3),(0,4,5)form","b) rectangle"),(III.,"The points (1,2,4),(-2,2,1),(2,4,-3),(5,4,0) form","c) rhombus"),(IV.," The points (-2,4,1),(-1,5,5),(2,2,5),(1,1,1)form","d) parallelogram"):}

I : The points (-2,3,5 ), (1,,2,3 ),(7,0,-1 ) are collinear. II: The points (2 ,-1,1 ) (1-3-5 ), (3,-4,-4 ) form an equilateral triangle.

The points (7, 1), (4, 4), (-2,-2), (1, -5) taken in order, form

Show that the points A(-1, -2), B(4, 3), C(2, 5) and D(- 3, 0) in that order form a rectangle.

Show that the point A(-4, 9, 6), B(-1,6,6), C(0,7,10) form a right angled isosceles triangle.

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