die Übergabe
handover
The act in which something (e.g., an object, an apartment, a task) is handed over to another person.
Die Übergabe der Geschäftsführung findet nächsten Monat statt.
The handover of the management will take place next month.

handover / surrender
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handover
The act in which something (e.g., an object, an apartment, a task) is handed over to another person.
Die Übergabe der Geschäftsführung findet nächsten Monat statt.
The handover of the management will take place next month.

'Die Übergabe' is the noun form of the separable verb 'übergeben' (to hand over). The word therefore describes the action or process of handing something over.
Der alte Chef bereitet die Übergabe seiner Aufgaben vor.
The old boss is preparing the handover of his tasks.
The context determines the meaning. In business or everyday life (apartment, project), it means 'handover'. In a military or historical context, it means 'surrender'.
Die Übergabe der Wohnung an den neuen Mieter dauerte eine Stunde.
The handover of the apartment to the new tenant took an hour.
Common combinations in the sense of 'handover' are 'die Übergabe der Schlüssel' (the handover of the keys), 'die Übergabe der Verantwortung' (the handover of responsibility), or 'die Übergabe eines Projekts' (the handover of a project).
Bei der Schlüsselübergabe wurde ein Protokoll geschrieben.
A written record was made during the key handover.
To describe the time or event of the handover, the preposition 'bei' is often used. It answers the question 'Wann?' (When?).
Bei der Übergabe der Wohnung sollten Sie alle Räume genau prüfen.
During the handover of the apartment, you should check all rooms carefully.
task / function / surrender
'die Aufgabe' and 'die Übergabe' can occur together when work goes from one person to another. 'die Aufgabe' is the work itself that has to be done. 'die Übergabe' is the moment or process in which something is handed over, for example a key, an apartment, or a task. The words can be confused because you can hand over a task ('eine Aufgabe übergeben'). In practical terms: you do the task; the handover organizes the change to another person.

Die Übergabe der Wohnung findet morgen um zehn Uhr statt.
The apartment handover will take place tomorrow at ten o'clock.
Frau Meier hat beim Termin eine wichtige Aufgabe übernommen.
Ms. Meier took on an important task during the meeting.