Prove that the points A`(9,0)` , B(9,6) , C`(-9 , 6)` and D`(-9,0)` are the vertices of a rectangle .

Find out whether the points (0, 7, 10), (-1,6,6) and (-4,9,6) are the vertices of a right angled triangle.

Show that the points (0,7,10), (-1,6,6) and(-4,9,6) are the vertices of an isosceles right angled triangle.

The points A(2,\ 0),\ \ B(9,\ 1),\ \ C(11 ,\ 6) and D(4,\ 4) are the vertices of a quadrilateral A B C D . Determine whether A B C D is a rhombus or not.

Show that the points (1,1),(-1,5),(7,9)and(9,5) taken in that order, are the vertices of a rectangle.

If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a parallelogram, taken in order, find the value of p.

The points A(2,0),\ B(9,1),\ C(11 ,6)a n d\ D(4,4) are the vertices of a quadrilateral A B C Ddot Determine whether ABCD is a rhombus or not.

If the points A(6,\ 1),\ \ B(8,\ 2),\ \ C(9,\ 4) and D(k ,\ p) are the vertices of a parallelogram taken in order, then find the values of k and p .

Show that the points A(-5,6) ,B(3,0) and C(9,8) are vertices of an isosceles right angled triangles. Find the area of this triangles.

Prove that the point A(1,3,0),\ B(-5,5,2),\ C(-9,-1,2)\ a n d\ D(-3,-3,0) taken in order are the vertices of a parallelogram. Also, show that ABCD is not a rectangle.

Verify the following:(i) (0, 7, 10) , (1, 6, 6) and (4, 9, 6) are the vertices of an isosceles triangle.