Imagine you have a big puzzle. It's so big that you can't just look at it and know what it looks like. You need to put the pieces together to see the whole picture.
Jung's theorem is like a special rule that helps you put the puzzle together. It says that if you have a special kind of shape in the puzzle, called a cut vertex, then you can divide the puzzle into smaller pieces, solve those smaller pieces, and then put them back together to solve the whole puzzle.
So, a cut vertex is like a very important piece of the puzzle that helps you solve the whole thing. Just like how a key can open a locked door, a cut vertex can help you "unlock" the puzzle and see the whole picture.