Is the Byzantine Church the same as the Byzantine Rite?

One potentially confusing point is that some of the churches have the same name as the rites they use. The Byzantine Church uses the Byzantine Rite. The Maronite Church uses the Maronite Rite. The Latin Church predominantly uses the Latin Rite. Unlike the Maronite and Latin churches, where they are the only churches to use their respective rites, the Byzantine Church is not the only church to use the Byzantine Rite. The thirteen other churches which use the Byzantine Rite are the Albanians, the Belorussians, the Bulgarians, the Croatians, the Greeks, the Melkites, the Hungarians, the Italo-Albanians, the Macedonians, the Romanians, the Russians, the Slovaks and the Ukrainians.

What is commonly referred to as the Byzantine Church is actually the Byzantine Metropolitan Church sui iuris of Pittsburgh, which is geographically located in the United States and centered in Pittsburgh, Pennsylvania. Some people call it the Ruthenian Church in an attempt to distinguish it from the other Churches. However, the Byzantine Church is not a national Church of Trans-Carpathian Rus, but is a national Church of the United States of America.