Questions & Answers about После прогулки мой друг предложил мне чай.
Because после always requires the genitive case.
- Dictionary form: прогулка = walk
- After после: после прогулки = after the walk / after a walk
So прогулки here is the genitive singular form of прогулка.
It can mean either, depending on context.
Russian often does not use articles like a and the, so после прогулки could be understood as:
- after a walk
- after the walk
The wider situation tells you which is more natural.
Мой means my, and it agrees with друг in gender, number, and case.
- мой = my
- друг = friend
Together: мой друг = my friend
Russian often allows possessive words to be omitted if they are obvious from context, but here мой is included because the speaker explicitly says my friend.