Prove that the points P (0,-4), Q(6,2) R(3,5) and S (-3, -1) are the vertices of a rectangularj PQRS.

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

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

Show that the points P (0, 5), Q(5, 10) and R(6, 3) are the vertices of an isosecles triangle.

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

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

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

Prove that points (2,-1,1),(1,-3,-5) and (3,-4,-4) are the vertices of a righat angled triangle.

Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a right angled isosceles triangle.

Prove that the points (2a, 4a), (2a, 6a) and (2a+sqrt3a , 5a) are the vertices of an equilaterall triangle whose side is 2a

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