I personally would call such dreams an out of body experience, seeing as you perceived that you were out of your regular waking-life body. Similarly, any dream where you are a different animal or an object I would say are OBEs.
Lucid dreams and OBEs aren't really related, except in cases where people WILD and have OBEs (but it is not always the case that you will lack a 'body' during a WILD). So unfortunately, just because someone has an OBE-dream, doesn't mean that they are particularly close to dreaming. But the fact that you are keeping track of these strange dreams bodes well!! Let me know if you have any questions about getting some lucids in 
A lucid dream is, very simply, a dream where you know that you are dreaming. If you have a body, or no body, or encompass everything or nothing in a dream, so long as you recognize that it is a dream, you are lucid dreaming 
Also, I am having a ridiculously huge brain fart and cannot remember what dreams like your dream about triangles are called when I get over it I'll respond, if someone doesn't beat me to it
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