The points (5, -4, 2), (4, -3, 1), (7, 6, 4) and (8, -7, 5) are the vertices of

Given: Points are A(5, -4, 2), B(4, -3, 1), C(7, 6, 4) and D(8, -7, 5)


To find: name of the quadrilateral formed by these 4 points


Formula used:


The distance between any two points (a, b, c) and (m, n, o) is given by,



Therefore,


Distance between A(5, -4, 2) and B(4, -3, 1) is AB,






Distance between B(4, -3, 1) and C(7, 6, 4) is BC,







The distance between C(7, 6, 4) and D(8, -7, 5) is CD,






Distance between A(5, -4, 2) and D(8, -7, 5) is AD,






Clearly,


No two sides are equal


So, it cannot be square, rectangle or parallelogram.

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