After dilation, the new coordinates are:
Point [tex]A' = (-2, -2.5)[/tex].
Point [tex]B' = (-2, 2.5)[/tex].
Point [tex]C' = (2, 2.5)[/tex].
Point [tex]D' = (2, -2.5)[/tex].
Placing the point [tex]P[/tex] as the origin of the chart, we have;
The coordinates of the points are: [tex]A = (-4, -5), B = (-4, 5), C = (4, 5), D = (4, -5)[/tex].
Under dilation using center [tex]P[/tex] and scale factor [tex]\frac{1}{2}[/tex], the coordinates of [tex](x,y)[/tex] becomes [tex](\frac{x}{2}, \frac{y}{2})[/tex].
[tex]A' = (-\frac{4}{2}, -\frac{5}{2}) = (-2, -2.5)[/tex]
[tex]B' = (-\frac{4}{2}, -\frac{5}{2}) = (-2, 2.5)[/tex]
[tex]C' = (-\frac{4}{2}, -\frac{5}{2}) = (2, 2.5)[/tex]
[tex]D' = (-\frac{4}{2}, -\frac{5}{2}) = (2, -2.5)[/tex]
Learn more about dilation here:
https://brainly.com/question/13176891?referrer=searchResults