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If you KNOW it is a parallelogram, just compare the lengths (or the squares of the lengths) of any two adjacent sides. If they are equal, it is a rhombus.

If A =(w,x) and B = (y,z)

then |AB|2 = (w - y)2 + (x - z)2

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Q: How could you verify that a parallelogram was a rhombus given just the coordinates of the vert ices?
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Related questions

A rhombus is an equilateral parallelogram Could you call a rhombus a square parallelogram?

No. That word is already taken. The square is a rhombus with a right angle.


Could you call a rhombus a square parallelogram?

No, rhombus refers to its shape, not the fact that is has four equal sides. You could call a rhombus an equilateral parallelogram by why would you want to? Also, would you then call a square a rhombic rectangle?


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A parallelogram with equal sides is always a rhombus, could be a rectangle, and could also be a square.


Is a parallelogram always have to be a rhombus?

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In a quadrilateral each side is parallel to its opposite side and the diagonals are not perpendicular What could it be?

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