Use graph paper and a straightedge to draw the figure. the set of points (–1, 2), (5, 2), (5, –4), and (–1, –4) identifies the vertices of a quadrilateral

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

Hence ∠ABC=90°

If in a rhombus one angle measures 90°,then it a Square.

So, Above Quadrilateral with given vertices is a Square.

here is a big fat