Answer with explanation:
The four vertices of a two dimensional geometrical shape are set of points A(–1, 2), B(5, 2),C (5, –4), and D(–1, –4).
Now plotting it on X Y plane
Point of intersection of Diagonals that is AC and B D given by the formula
Distance formula between two points in two dimensional plane
So, the Quadrilateral is Rhombus,because all sides are equal.
Slope of line between two points is given by
Slope of AB
Slope of BC
Product of slopes = -1
If in a rhombus one angle measures 90°,then it a Square.
So, Above Quadrilateral with given vertices is a Square.