Yes Cheddar is a ripened cheese.
Cheddar Cheese is ripened and made by coagulating milk proteins with enzymes (rennet) and culture acids and then it goes through a bacteria ripening process.
Not only is Cheddar a ripened cheese but also the cheeses such as Swiss, Colby, brick and Parmesan are all ripened cheeses that go through the aging and bacteria ripening process.
Cheddar is also a hard cheese as well as the Swiss, Colby and brick as well as the Parmesan cheeses are all hard and ripened cheeses.