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Difference between tranĉi and trancatranĉa

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Difference between tranĉi and tranca

In doing the Duo. Esperanto Home topic, I came across this sentence about a knife being a tool for cutting. I used tranĉa and was corrected in that it should be tranĉi, which I "thought" was the verb meaning 'to cut'. So am I to assume that "tranĉi" means to cut as well as cutting.? The sentence being...a knife is a tool for cutting.