I'm feeling mad at my girlfriend because she got a ride from someone I don't like.
Why did she get a ride from them?
She didn't have any money to get a cab.
We can all be jealous sometimes, especially when our partners interact with people that we don't like. However, you can't get mad at your girlfriend just because they interacted with someone that you don't like. If you try to dictate who your partner can and can't interact with, they're bound to get frustrated with you and possibly leave you.
She shouldn't betray me like this. I broke up with her now, I still have my cat to be with.
You shouldn't let jealousy take over your judgment. Considering now that you broke up with her this could prove to be a mistake on your part. I would recommend communicating with her that you are not particularly fond of the person she was getting a ride from.