Question

1. draw an example of a triangle in the extended Euclidean plane that has one ideal vertex. Is there a triangle in the extended plane that has two ideal vertices? Could there be a triangle with three ideal vertices?

Answer 1

Perhaps it'd help you as well as your potential helpers if you'd clearly define "ideal vertex." I don't recall having seen that phrase ever, anywhere. How do judge whether a given vertex is "ideal" or "not ideal," and what are the implications there?