Answer :
Given:
Vertices of ABCD:
A(-8,-4), B(8, 4), C(6, 4), D(-6, 4)
Vertices of A'B'C'D':
A'(-4, -2), B'(4, 2), C'(3, 2), D'(-3, 2)
The figure ABCD was dilated to produce figure A'B'C'D'
To find the scale factor, divide a coordinate of the the dilated figure by that of the original figure.
thus, we have:
[tex]\frac{A^{\prime}}{A^{}}=\frac{-4}{-8},\frac{-2}{-4}=\frac{1}{2},\frac{1}{2}[/tex]Therefore, the algebraic representation of the transformation is:
[tex](\frac{1}{2}x,\frac{1}{2}y)[/tex]ANSWER: