An object or idea that matches or has a connection with another one is called corresponding. This can be something like a matching pair of shoes.
When we say two things correspond, we mean they have some kind of similarity or relationship between them. For example, if you're planning a trip and booking a hotel room for the same dates as your friend's visit, the rooms could be said to correspond because they're in the same place at the same time. In math class, corresponding angles are pairs that are equal and opposite in direction. You might also see corresponding words or phrases used to describe things that have similar meanings.
present participle and gerund of correspond
