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.

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

Show that the points (12, 8), (-2,6), and (6, 0) are 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 .

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

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

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

Without using distance formula, show that points (-2,-1) , (4,0) ,(3,3) and (-3,2) are the vertices of a parallelogram.

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