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

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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