Show that the points (taken in order)
(-3,1),(-6,-7),(3,-9),(6,-1) form a parallelogram.

Show that the points (taken in order) (8,4),(5,7),(-1,1),(2,-2) form a rectangle.

Show that the points (taken in order) (3,-2),(7,6),(-1,2),(-5,-6) form a rhombus.

Show that the points (3, -1, 2), (5, -2, -3), (-2, 4, 1) and (-4, 5, 6) form a parallelogram. [Hint : Opposite sides of parallelogram are equal.]

Prove that the points (6, 8), (3, 7), (-2, -2), (1, -1) are the vertices of a parallelogram.

By using the concept of slope, show that the points (-2,-1), (4,0), (3,3) and (-3,2) are the vertices of a parallelogram.

Using the slope of line, show that the points (-1,-2) , (0,4) , (3,3) and (2,-3) are the vertices of a parallelogram.

Show that the points A(2, 1), B(5, 2). C(6, 4) and D(3, 3) are vertices of a parallelogram. Is this figure a rectangle?

Show that the points ( 1,0),(2,-7) , (8,1) and (9,-6) are concyclic.

Show that the points (0,7,10),(-1,6,6) and (-4,9,6) form a right angled isosceles triangle .

Prove that the points (3, 2), (6, 3), (7, 6) and (4, 5) are the vertices of a parallelogram. Is it a rectangle?