Scale factor of ΔABC to ΔXYZ is [tex]\frac{1}{5}[/tex].
The ratio of corresponding sides are equal, and this ratio is called the scale factor.
We know that
ΔABC and ΔXYZ are similar from the figure
[tex]\frac{XY}{AB}=\frac{YZ}{BC} =\frac{XZ}{AC}[/tex]
Substitute the values
[tex]\frac{9}{45} =\frac{12}{60}=\frac{7}{35} =\frac{1}{5}[/tex]
Therefore, Scale factor of ΔABC to ΔXYZ is [tex]\frac{1}{5}[/tex].
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