
festhalten
to hold
To grip something or someone firmly with the hands or arms and not let go.
Bitte halte das Bild gerade, während ich den Nagel in die Wand schlage.
Please hold the picture straight while I hammer the nail into the wall.
to hold / record
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to hold
To grip something or someone firmly with the hands or arms and not let go.
Bitte halte das Bild gerade, während ich den Nagel in die Wand schlage.
Please hold the picture straight while I hammer the nail into the wall.

to record
To record information, thoughts, or events in writing, images, or audio in order to document them.
Die wichtigsten Ergebnisse des Gesprächs wurden im Protokoll festgehalten.
The most important results of the conversation were recorded in the minutes.

to stick to something
To remain committed to an opinion, plan, or belief and not give it up, even in the face of opposition.
Trotz der Kritik hält der Trainer an seiner Strategie fest.
Despite the criticism, the coach is sticking to his strategy.

to detain
To prevent a person from leaving; to temporarily detain someone.
Die Polizei konnte den Dieb auf frischer Tat festhalten.
The police were able to detain the thief in the act.

to state
To state or emphasize something forcefully, often as an introduction to an important statement.
Ich möchte festhalten, dass diese Entscheidung ohne meine Zustimmung getroffen wurde.
I would like to state that this decision was made without my consent.
The verb is made up of 'fest' (firmly) and 'halten' (to hold). The literal meaning 'to hold something firmly in one's hand' is the basis for all figurative meanings, such as holding on to an idea or recording information.
Er hielt den entscheidenden Moment in einem Foto fest.
He captured the decisive moment in a photo.
'Festhalten' (to hold / record) is a separable verb. In a main clause, the prefix 'fest' goes at the end. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Halte bitte meine Tasche kurz fest.
Please hold my bag for a moment.
In the literal meaning, the reflexive form 'sich festhalten' (to hold on) is often used, usually followed by the preposition 'an' with the dative. This describes giving oneself support.
Das Kind hielt sich ängstlich an der Hand seiner Mutter fest.
The child anxiously held on to his mother's hand.
In the sense of 'dokumentieren' (to document), 'festhalten' (to record) is combined with abstract nouns such as 'Ergebnisse' (results), 'Ideen' (ideas), 'Gedanken' (thoughts), or 'Punkte' (points). The place or form of the record is often mentioned, e.g. 'im Protokoll' (in the minutes) or 'schriftlich' (in writing).
Wir sollten diese Idee schriftlich festhalten, bevor wir sie vergessen.
We should record this idea in writing before we forget it.
To express that someone is sticking to an opinion or plan, 'festhalten' (to stick to) is always used with the preposition 'an' and the dative. The pattern is: an etwas (dative) festhalten.
Sie hält an ihrem ursprünglichen Plan fest, obwohl es Schwierigkeiten gibt.
She is sticking to her original plan, even though there are difficulties.
The meaning 'to prevent someone from leaving' is used almost only in the context of police, security, or crime. In this case, the object is always a person.
Der Ladendetektiv hielt den Dieb bis zum Eintreffen der Polizei fest.
The store detective detained the thief until the police arrived.
To emphasize an important statement, 'festhalten' (to state) is often used in fixed formulations such as 'Ich möchte festhalten, dass ...' (I would like to state that ...) or 'Es lässt sich festhalten, dass ...' (It can be stated that ...). This introduces a conclusion or a central point.
Lassen Sie uns festhalten: Das Projekt wird wie geplant fortgesetzt.
Let us state this clearly: the project will continue as planned.
to stay / remain
Here, bleiben bei and an etwas festhalten both mean that someone does not give up an opinion or plan. You use bleiben bei einem Plan, but an einem Plan festhalten. Festhalten can additionally emphasize that this happens despite opposition.

Wir halten trotz der Kritik an unserem Plan fest.
Despite the criticism, we are holding to our plan.
Wir bleiben trotz der Kritik bei unserem Plan.
Despite the criticism, we are sticking with our plan.