The quadrilateral is a square
Quadrilaterals are polygons, that have four sides and four corners
The coordinates are given as:
Start by calculating the adjacent side lengths using:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
So, we have:
[tex]AB = \sqrt{(3- 5)^2 + (5- 2)^2}[/tex]
[tex]AB = \sqrt{13}[/tex]
[tex]BC = \sqrt{(8- 5)^2 + (4- 2)^2}[/tex]
[tex]BC = \sqrt{13}[/tex]
The side lengths are equal.
Hence, the quadrilateral is a square
Read more about quadrilaterals at:
https://brainly.com/question/5715879