Given the endpoints of the segments to be (-4,16) and (8,0)
And also a scale factor of 0.25.
Step 1: Let's first try to convert 0.25 to fraction, for easy calculation
[tex]\begin{gathered} 0.25\text{ =}\frac{25}{100} \\ \\ \frac{25}{100}\text{ = }\frac{1}{4} \end{gathered}[/tex]Step 2: we will then multiply the coordinates given by the scale factor to get the dilated coordinates(A'B')
[tex]\begin{gathered} \frac{1}{4}\text{ X (-4,16) =(-}\frac{4}{4},\frac{16}{4}\text{)} \\ (-1,4) \end{gathered}[/tex]That of the second coordinate will be
[tex]\begin{gathered} \frac{1}{4}\text{ X (8, 0) =(}\frac{8}{4},\frac{0}{4}\text{)} \\ \\ =\text{ (2,0)} \end{gathered}[/tex]Hence, the dilated coordinate (A'B' ) of the segment will be => (-1,4) and (2,0)
