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

The Vertices of a quadrilateral are A(5,6), B(1,5), C(2,1) and D(6,2).


Using distance formula =


AB = = = units


BC = = = units


CD = = = units


DA = = = units


AB = BC = CD = DA


BD = = = units


AC = = = units


All the four sides of the quadrilateral are equal and diagonals are of equal length. Therefore, the given vertices form a square.

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