Points A(5, 3), B(-2, 3) and D(5, -4) are three vertices of a square ABCD. Find the coordinates of the vertex C.

(2,4)

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(-2,-4)

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(2,-4)

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(-2,4)

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Solution

The correct option is B (-2,-4)
Take a point C on the graph such that ABCD is a square i.e all sides AB, BC, CD and AD are equal. So, the abscissa of C should be equal to the abscissa of B i.e -2 and ordinate of C should be equal to the ordinate of D. i.e -4.
Hence, the coordinates of C are
(-2, - 4).

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