jip dwie jageun gongwoni isseoyo.

In Korean, 의 often gets omitted when one noun modifies another, especially in very common expressions.

So:

• 집 뒤 = the back of the house / behind the house
• 집의 뒤 = also possible, but more formal or less natural in everyday speech

In normal conversation, 집 뒤에 is the most natural way to say behind the house.

뒤 means back, behind, or the area behind something.

The particle 에 marks a location, so:

• 뒤 = back / behind
• 뒤에 = at the back / behind

So 집 뒤에 literally means at the back of the house or behind the house.

Because 집 뒤 works like a noun phrase meaning the back of the house.

Here, 집 directly modifies 뒤, kind of like:

• 학교 앞 = in front of the school
• 집 옆 = beside the house
• 건물 안 = inside the building

This is a very common Korean pattern. You do not always need a subject or topic particle after the first noun in these location expressions.

Korean descriptive verbs (often called adjectives in English learning materials) change form when they come before a noun.

The dictionary form is:

• 작다 = to be small

When it directly modifies a noun, it becomes:

• 작은 = small

So:

• 작은 공원 = a small park

This is similar to how English puts small before park, except in Korean the adjective changes its form.

The 이/가 particle marks the subject.

• 공원 ends in a consonant, so it takes 이
• if a noun ends in a vowel, it takes 가

So:

• 공원이 있어요 = there is a park

In this sentence, 작은 공원이 is the thing that exists.

있어요 comes from 있다, which can mean:

• to exist
• to be at/in
• sometimes to have, depending on context

In this sentence, it means there is or there exists.

So the sentence is literally close to:

• Behind the house, a small park exists.

A natural English translation is:

• There is a small park behind the house.

Because Korean is a subject-object-verb language, and the verb normally comes at the end of the sentence.

This sentence is structured like:

• 집 뒤에 = behind the house
• 작은 공원이 = a small park
• 있어요 = exists / there is

So the Korean order is different from English, but this is completely normal in Korean.

Yes. 있어요 is the polite, everyday form.

Related forms are:

• 있다 = dictionary form
• 있어요 = polite everyday speech
• 있습니다 = more formal
• 있어 = casual, used with close friends or younger people

So 집 뒤에 작은 공원이 있어요 is polite and natural for daily conversation.

Yes, but it changes the nuance.

• 작은 공원이 있어요 = There is a small park.
  This simply presents new information.
• 작은 공원은 있어요 = As for a small park, there is one.
  This can sound contrastive or topic-marked.

In many basic existence sentences, 이/가 is the most neutral and natural choice.

No. Korean does not have articles like English a and the.

So 작은 공원 can mean:

• a small park
• the small park

The exact meaning depends on context. In this sentence, English usually translates it as a small park.

Yes, 있다 can mean to have, but only in certain sentence patterns.

For example:

• 공원이 있어요 = There is a park.
• 저는 차가 있어요 = I have a car.

The difference comes from the structure and context. In your sentence, there is a location phrase 집 뒤에 and the subject is 작은 공원, so the meaning is clearly there is a small park behind the house.

It can be either, depending on context.

• 집 can mean house
• 집 can also mean home

So this sentence could be understood as:

• There is a small park behind the house
• There is a small park behind the home

In many beginner translations, house is used because it sounds more concrete with behind.