Based on transformation concept, the polygon image after a reflection is shown in the image attached below.
Transformation involves the relocation of a point from its original position to a new one. There are various types of transformations, including rotation, reflection, translation, and dilation.
Based on the question, the vertices A(2, 0), B(3, 4), C(6, 4), and D(5, 0), along with the equation for the line y = -x.
Our work is to create a graph using these vertices and then depict its reflection in the line y = -x.
So, in terms of Reflection, it entails flipping the figure.
Consequently, if a point A(x, y) undergoes a reflection about the line y = -x, the new point would be represented as A'(-y, -x).
For the given polygon with vertices at A(2, 0), B(3, 4), C(6, 4), and D(5, 0), the vertices of the polygon after a reflection in the line y = -x become: A(0, -2), B(-4, -3), C(-4, -6), and D(0, -5).