Is there algorthm for 2 way 2D plane transformation based on 3 points and angle?

Question

So I have such structure: 3 points (X, Y) BAC and knowledge that in real 3d world BAC angle is 90 degrees.So an image would look like that:

And what we want to get at first is :

than we wanna add some stuff like 2 parallel lines

and what I need next is some formula for somehow shrinking image back to its original view but now with added elements.

So what formulas do I need?

Answer 1

You need more info. Like the focal distance. As posed, you have an infinity of solutions to your problem.