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

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

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

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

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

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

The points (0, 8//3), (1, 3) and (82, 30) are vertices of :

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

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.