What is the difference between a tennis game and a match?

Usually in volleyball, you have to win 3 games out of 5. So, all of the games combined is a match, but each individual one is called a game. This is correct: "China and USA had a match against each other". This is incorrect: "China and USA had a game against each other". That's incorrect because they didn't have just one game, they had 3 games, which is the same as a match.