The points `A(1,1),B(3,2)` and `C(5,3)` cannot be the vertices of the triangle ABD . Justify.

Prove that the points A(0,-1),B(-2,3),C(6,7) and D(8,3) are the vertices of a rectangle ABCD .

Prove that the points A(1,-3),B(-3,0)and C(4,1) are the vertices of a right isosceles triangle .

Without using pythagoras theorem, show that the points A(-1,3) ,B(0,5) and C(3,1) are the vertices of a right angled triangle

The points A (6, 1), B (8, 2), and C 9, 4) are the three vertices of a parallelogram ABCD. If E is the midpoint of DC, find area of Delta ADE.

If the points A(1,1), B(-1,-1), C=(-sqrt(3), sqrt(3)) are the vertices of a triangle, then the triangle is

Without using the Pythagoras theorem, show that the points (4,4), (3, 5) and (-1, -1) are the vertices of a right angled triangle.

Are the points A ( 3,6,9) ,B( 10 ,20, 30 , ) and C( 25,- 41, 5) the vertices of a right angled triangle?

Show that the points A(1,3),B(2,6),C(5,7) and D(4,4) are the vertices of a rhombus .

Show that the points A(1,2,3),B(-1,-2,-1),C(2,3,2) and D(4,7,6) are the vertices of a parallelogram.