Given points are A(- 3, 5), B(3, 1), C(0, 3) and D(- 1, - 4).
Let us find the lengths of the sides.
We know that the distance between the points (x1, y1) and (x2, y2) is
Now,
We got AB≠BC≠CD≠DA, this may be a quadrilateral which is not of standard shape.
Now we find the lengths of the diagonals.
⇒ AC + BC = AB
We got points ABC are collinear.
∴ The points doesn’t form a quadrilateral.