Prove that the point `(4, 3), (6, 4), (5, 6) and (3, 5)` asre the vertices of a square.

Prove that the points (4, 3), (6, 4), (5, 6) and (3, 5) are the vertices of a square.

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

Show that the points A(3, 5), B(6, 0), C(1, -3) and D(-2, 2) are the vertices of a square ABCD.

Prove that the points (4, 8), (0, 2) (3, 0) and (7, 6) are the vertices of a rectangle.

Prove that the points (4, 8), (0, 2), (3, 0) and (7, 6) are the vertices of a rectangle.

Prove that the points (-1, -2), (-2, -5), (-4, -6) and (-3, -3) are the vertices of a parallelogram.

The points A(4,3), B(6,4), C(5,-6) and D(-3,5) are vertices of a parallelogram.

Prove that the points (3, 4), (8, -6) and (13, 9) are the vertices of a right-angled triangle.

Prove that the points A(2, 4), B(2, 6) and C(2 + sqrt(3) , 5) are the vertices of an equilateral triangle.

Prove that the points (3,-2),(4,0),(6,-3) and (5,-5) are the vertices of a parallelogram.