Is there a simple math for hitting a zone?

Question

Mathematics

What is the math for hitting any zone - ABCDE green cross?
The coordinates of the blue dots are known.
The programming language is not important. Thanks to everyone who replies.

Answer 1

https://e-maxx.ru/algo/pt_in_polygon
https://neerc.ifmo.ru/wiki/index.php?title=%D0%9F%...
algolist.ru/maths/geom/belong/poly2d .php

Answer 2

You've already been given general advice. Now specialized.
The point is guaranteed to be in the enclosing rectangle. We get the equations of lines and look from which side. The easiest way to do this is through the skew product of vectors — AX×AB <> 0, or
(x − xA)(yB − yA) − (xB − xA)(y − yA) <> 0