Being +v3 without (to be) verb
I am so confused about these following sentences. Would you mind explaining me how (being+V3) is used in these following sentences:

1. We managed to climb the tree without being seen.
2. I don't like being told what to do.
3. He hates being kept waiting.
4. I don't think you can do that without being seen.
5. Sometimes the children were abused by being ignored.
6. Out professor has no tolerance for being treated disrespectfully.
7. It may not be directly related to the subject being discussed.
8. The minister underwent the experience of eggs being thrown at him.
9. You have undergone the experience of its being explained.

10. A COUPLE YEARS AGO I DECIDED THAT I WAS DONE WITH BEING MISTREATED BY NEGATIVE AND ABUSIVE PEOPLE.

11. Umbrage is a feeling of anger caused by being offended.

12. Umbrage is a feeling of being offended by what someone has said or done.

13.I can understand being deceived into thinking it's a joke.

14. All fruits and vegetables need to be washed thoroughly before being eaten.

15. Trump angrily exits press conference after being challenged by female reporters

Question

Being +v3 without (to be) verb
I am so confused about these following sentences. Would you mind explaining me how (being+V3) is used in these following sentences:

1. We managed to climb the tree without being seen.
2. I don't like being told what to do.
3. He hates being kept waiting.
4. I don't think you can do that without being seen.
5. Sometimes the children were abused by being ignored.
6. Out professor has no tolerance for being treated disrespectfully.
7. It may not be directly related to the subject being discussed.
8. The minister underwent the experience of eggs being thrown at him.
9. You have undergone the experience of its being explained.

10. A COUPLE YEARS AGO I DECIDED THAT I WAS DONE WITH BEING MISTREATED BY NEGATIVE AND ABUSIVE PEOPLE.

11. Umbrage is a feeling of anger caused by being offended.

12. Umbrage is a feeling of being offended by what someone has said or done.

13.I can understand being deceived into thinking it's a joke.

14. All fruits and vegetables need to be washed thoroughly before being eaten.

15. Trump angrily exits press conference after being challenged by female reporters

Answer

Lyn writes:
"In all these sentences "being" is the present participle of "be" and means that the main verb or action is ongoing, or happening continuously at that time."

Unfortunately, the community tutor is wrong on both points. In fact, “being” is the gerund — a noun form of the verb. “To be” is used with the past / passive participle (“v3”) to form the passive voice. We could restate number 1 in the active voice:
We managed to climb the tree without anyone seeing us.

Answer

As Phil states, these are gerunds.

Answer

Hello!

In all these sentences "being" is the present participle of "be" and means that the main verb or action is ongoing, or happening continuously at that time.

I hope this helps!