The scale factor is [tex]\frac{1}{2}[/tex].
Solution:
The scale factor of a dilation is the ratio of the length of the dilated i.e. transformed figure to the corresponding lengths of the original figure.
ABC is the original triangle.
A'B'C' is the dilated triangle.
One side of ΔABC, AC = 18
Corresponding side of ΔA'B'C' = 9
[tex]$\text { Scale factor }=\frac{\text { Length of } \mathrm{A}^{\prime} \mathrm{C}^{\prime}}{\text { Length of } \mathrm{AC}}[/tex]
[tex]$\text { Scale factor }=\frac{9}{18}[/tex]
[tex]$\text{Scale factor} =\frac{1}{2}[/tex]
Hence the scale factor is [tex]\frac{1}{2}[/tex].
