How do you politely introduce someone?
Use courteous language. “I'd like to introduce…,” “May I introduce…,” “I'd like you to meet…” are all good options. “May I present…” is the formal version. Use preferred names and titles.
Is it rude not to introduce people?
Whenever you are in the company of people you know, who do not know each other, you should introduce them to each other. Consider yourself a good will ambassador in these situations.
How do you properly introduce people?
The phrase “formally introduced” usually refers to the occasion when two people meet for the first time and a third person with some formality introduces those two people to each other.