The points A (2, 0), B(9, 1), C (11, 6) and D (4, 4) are the vertices of a quadrilateral ABCD. Determine whether ABCD is a rhombus or not.

Key points to solve the problem:


The idea of distance formula- Distance between two points P(x1,y1) and Q(x2,y2) is given by- PQ =


The idea of Rhombus – It is a quadrilateral with all four sides equal.


Given, coordinates of 4 points that form a quadrilateral as shown in fig:



Using distance formula, we have:


AB =


BC =


Clearly, AB ≠ BC quad ABCD does not have all 4 sides equal.


ABCD is not a Rhombus …ans


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