Given:
• AB = 18
,
• AC = 24
,
• BC = 21
,
• EF = 7
Let's find the scale factor of triangle ABC to DEF.
To find the scale factor of similar figures, divide a side in the transformed figure by the length of the corresponding side in the original figure.
Thus, we have:
[tex]\text{ scale factor = }\frac{EF}{BC}=\frac{7}{21}=\frac{1}{3}[/tex]
Therefore, the scale factor of ABC to DEF is 1/3.
ANSWER:
C. ¹/₃
