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The two opposite vertices of a square are (-1,2) and (3,2). Find the coordinates of the other two vertices.

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Let ABCD be a square and let A(-1, 2 ) and C(3, 2) be the opposite vertices and let B(x, y) be the unknown vertex.

In right triangle ABC

Substituting  x =1 from (1) and (2)

Hence the required vertices of the square are (1,0) and (1,4)

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