Any one religious function, e.g., the rite of Baptism.
A group of such functions, e.g., the last rites (Extreme Unction, Viaticum, etc.).
The whole collection of services used in the public worship of any church or group of churches, e.g., the Roman Rite.

In this sense the term is often used as equivalent to Liturgy. The essentials of worship laid down by Christ form the foundation of every rite. The different prayers, actions, and customs used in the amplification of the fundamentals, distinguish the rites. Provided there be unity of faith, diversity of rite matters not at all. The four parent rites and those derived from them are:

I - Antiochene
Pure Antiochene
Rite of Saint James (Greek, Syriac, and Maronite)
Chaldean
Malabar
Nestorian
Byzantine
Armenian
II - Alexandrine
Greek, Saint Mark
Coptic (Saint Cyril, Saint Gregory, Saint Basil)
Ethiopic
III - Roman
Original Roman
African
Roman with Gallican additions
IV - Gallican
Ambrosian
Mozarabic
Celtic

In addition, some religious orders have their own rites, e.g., the Benedictine, Carmelite, Cistercian, Dominican, Franciscan (Friars Minor and Capuchin), Premonstratensian, Servite.

Bibliography Information
Entry for 'Rite'. 1910 New Catholic Dictionary. https://www.studylight.org/dictionaries/eng/ncd/r/rite.html. 1910.

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1910 New Catholic Dictionary

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Rite