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Question -

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.



Answer -

Given:

The coordinates of 4 points that form a quadrilateral is shownin the below figure

Now by using distance formula, we have:

It is clear that, AB ≠ BC [quad ABCD does not have all 4sides equal.]

 ABCDis not a Rhombus

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