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.