Answer:
Option A. [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Since in the given figure, ΔS'T'V' is dilated by the origin to form ΔSTV therefore, both the triangles will be similar.
By the property of similar triangles corresponding side of the triangles will be in the same ratio.
Scale factor = ratio of corresponding sides = [tex]\frac{S'T'}{ST}=\frac{S'V'}{SV}=\frac{T'V'}{TV}[/tex]
Scale factor of dilation = [tex]\frac{T'V'}{TV}=\frac{2}{6}=\frac{1}{3}[/tex]
Option A. [tex]\frac{1}{3}[/tex] is the answer.
