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Examine whether the following points taken in order form a square.

(5, 2), (1, 5), ( - 2, 1) and (2, - 2)

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by bhushanKhan

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(5, 2), (1, 5), ( - 2, 1) and (2, - 2)

by bhushanKhan

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The distance b/w AB = √(1-5)²+(5-2)² =√16+9 = 5

The distance b/w BC = √(-2-1)²+(1-5)² = 5

In the same way distance b/w CD = 5 ; DA = 5

The distance b/w AC = √(-2-5)²+(1-2)² =√49+1 =√50

The distance b/w BD = √(2-1)²+(-2-5)² = √50

As the sides are equal AB = BC = CD = DA

The diagonals are also equal AC= BD

Therefore the given points represents square