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

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A(5, 6), B (1, 5), C(2, 1) and D(6, 2) are the given points

Since AB = BC =CD = AD and diagonals AC = BD

Therefore, ABCD is a square.

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