We can start by graphing the points of the quadrilateral:
As it has four sides, we know it is a quadrilateral, but this category is broad: it includes rectangles, squares, rhombus and parallelograms.
As the length of the sides are not equal, we know it is not a square.
The angles in each vertex are not right angles, so it is not a rectangular (this would have been enough to prove that is not a square).
Then, we have to determine if this is a rhombus or a parallelogram.
The difference between the two is that the rhombus is a particular type of parallelogram fro which the diagonals bisect each other at a right angle.
If we look at the graph, the diagonals match the x and y axis and are perpendicular, so we can conclude that the quadrilateral MNPQ is a rhombus.
