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Given:

Triangle ABC and triangle DEF are similar triangles.

To find:

The proportion that can be used to find the length of segment DE.

Solution:

We know that the corresponding sides of similar triangles are proportional.

Triangle ABC and triangle DEF are similar triangles. So, their corresponding sides must be proportional.


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


(AB)/(DE)=(BC)/(EF)


(4)/(DE)=(3)/(9)


(4)/(3)=(DE)/(9)

Therefore, the correct option is A.

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