
getreu
faithful
Loyal and reliably committed to someone or something; faithful. The adjective is often used with a dative object.
Sie ist ihren Idealen immer getreu geblieben.
She has always remained faithful to her ideals.
faithful / true to
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faithful
Loyal and reliably committed to someone or something; faithful. The adjective is often used with a dative object.
Sie ist ihren Idealen immer getreu geblieben.
She has always remained faithful to her ideals.

true to
Exactly corresponding to a model, original, or description; realistic.
Der Film ist eine getreue Darstellung des historischen Ereignisses.
The film is a true-to-life depiction of the historical event.

true to the motto
Following a particular maxim, guiding principle, or rule.
Getreu dem Motto „Der Kunde ist König“ bemühte sich der Verkäufer sehr.
True to the motto 'The customer is king,' the salesperson made a great effort.
'Getreu' (faithful / true to) is a more formal and often stronger variant of 'treu' (faithful). Both words belong to the word family around 'die Treue' (loyalty).
Er war ein treuer Freund in schweren Zeiten.
He was a loyal friend in difficult times.
When 'getreu' (faithful) expresses loyalty, the noun to which someone is faithful is in the dative. A typical construction is 'jemandem/etwas getreu bleiben' (to remain faithful to someone/something).
Der alte Diener blieb seinem Herrn bis zum Ende getreu.
The old servant remained faithful to his master until the end.
In the meaning of 'exakt entsprechend' (exactly corresponding), 'getreu' (true to) is often combined with nouns that describe an image or reproduction. Typical examples are 'eine getreue Kopie' (an exact copy) or 'eine getreue Darstellung' (a faithful depiction).
Das Museum stellt eine getreue Nachbildung des alten Stadttores aus.
The museum is exhibiting a faithful reproduction of the old city gate.
The expression 'getreu dem Motto' (true to the motto) introduces a sentence and explains the motivation for an action. The noun 'Motto' is always in the dative here.
Getreu dem Motto „Weniger ist mehr“ hat sie ihre Wohnung sehr minimalistisch eingerichtet.
True to the motto 'Less is more,' she furnished her apartment in a very minimalist way.
loyal / faithful
Treu and getreu can both express a lasting, reliable bond. Getreu is especially often used with a dative and highlights reliably remaining committed to a particular person or thing. Treu is generally suitable for the same kind of bond.

Auch nach dem Abstieg blieb sie ihrem Verein getreu.
Even after relegation, she remained loyal to her club.
Auch nach dem Abstieg blieb sie ihrem Verein treu.
Even after relegation, she remained loyal to her club.