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Show that the points A(4, – 1), B(6, 0), C(7, 2) and D(5, 1) are the vertices of a rhombus.

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Show that the points A(4, – 1), B(6, 0), C(7, 2) and D(5, 1) are the vertices of a rhombus.

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Given points are 

A(4, – 1), B(6, 0), C(7, 2) and D(5, 1).

  

∴ AB = BC = CD = DA, so the given points are the vertices of a rhombus.

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