Prepositions in connection with fixed phrases 2

In Danish prepositions are often used in fixed phrases. Is this also the case in English?

Click the word in the English sentence that matches the preposition in Danish.
Click the blue box next to the sentence if no word matches the preposition in Danish.

Carl er interesseret i biler.
Carl is interested
 in 
cars
               
Emma er nødt til at studere meget.
Emma has
 to 
 study a lot.
               
Hun er sikker at han kommer.
She is sure that he will come.
               
Døren kan kun åbnes ved hjælp af en nøgle.
The door can only be opened
 with 
a key