Answer:
D
Step-by-step explanation:
Similar triangles have corresponding sides that are proportional.
- AC is corresponding side to DF
- AB is corresponding side to DE
- BC is corresponding side to EF
From the 2 given corresponding sides, AB = 8 and DE = 12, we can figure out their proportionality.
[tex]\frac{AB}{DE}=\frac{8}{12}=\frac{2}{3}[/tex]
So all corresponding sides of the first triangle to the second triangle will have a ratio of 2:3.
So,
[tex]\frac{AC}{DF}=\frac{10}{DF}=\frac{2}{3}\\10*3=2DF\\DF=\frac{30}{2}=15[/tex]
DF = 15
And,
[tex]\frac{BC}{EF}=\frac{6}{EF}=\frac{2}{3}\\6*3=2EF\\EF=\frac{18}{2}=9[/tex]
EF = 9
Answer choice D is right.
