Koreans use it when introducing family members to someone else in polite or formal situations.
Yes. "제 가족이에요 (je gajog ieyo)" is polite and natural. You can also say "내 가족이야 (nae gajog iya)" casually.
You can say "This is my family" — 제 가족입니다 (je gajog imnida).
제 가족이에요 means "This is my family". It's a polite and humble way to introduce your family members to someone else.
1. Meeting someone new: Introducing parents or siblings.
2. At gatherings: When family is with you.
3. Showing photo: "이 사진은 제 가족이에요"
This is my family. Say hello.
These are my parents.
Person over there is my family. (Formal)
This is my sibling, my family! (Casual)