Question

Please help me with this ACT Prep problem.

Answer 1

Option C

Explanation:

ΔABC and ΔDEF are similar triangles.

By the property of similar triangles, corresponding sides of the similar triangle are proportional.

`(AB)/(DE)=(BC)/(EF)=(AC)/(DF)`

`(6)/(DE)=(6)/(3)=(10)/(5)`

`(6)/(DE)=(6)/(3)`

DE = 3

Perimeter of ΔDEF = Sum of measures of the sides of the triangle

= DE + EF + DF

= 3 + 3 + 5

= 11

Therefore, Option C will be the correct option.