There's no built-in component to do that. You can probably create one
yourself, but it's going to be complicated.
You could embed .swf file in pdf and view within Reader / Acrobat. So I think it is possible.
Yes, I am sure this can be done in flash. But I need to know if this can be done in Acrobat using forms and scripting.
It is possible, but it is not an elementary task. You will have to dig out your school knowledge of geometry etc.
There are in fact several options, either via annotations, or via the icon object.
You might look around for publications by Dr. D.P. Story.
For a more in-depth discussion and quotes, feel free to contact me in private.