open
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open
Not closed; accessible or in operation. Refers to the state of doors, windows, shops, or institutions.
Das Museum ist täglich von 10 bis 18 Uhr für Besucher geöffnet.
The museum is open to visitors daily from 10 a.m. to 6 p.m.
'Geöffnet' (open) is the past participle of the verb 'öffnen' (to open). Here it is used like an adjective to describe the state that results from the action 'öffnen' (to open).
Bitte lassen Sie das Fenster geöffnet, um zu lüften.
Please leave the window open to air the room.
This word is used for things that have a mechanism for opening and closing. Typical examples are shops, museums, doors, windows, or bottles.
Als wir ankamen, war die Schranke bereits geöffnet.
When we arrived, the barrier was already open.
To give opening hours, the structure 'von [Zeit] bis [Zeit] geöffnet sein' (to be open from [time] to [time]) is used very frequently. This is a fixed and useful formulation.
Die Bibliothek ist am Wochenende nur von 10 bis 14 Uhr geöffnet.
The library is open on weekends only from 10 a.m. to 2 p.m.
on / onto / open
Auf and geöffnet can both express that a door is not closed. Auf is usually colloquial and used predicatively. Geöffnet sounds more neutral and also works in written notices and before a noun.
Auf dem Schild steht, dass die Tür noch geöffnet ist.
The sign says that the door is still open.
Im Gespräch sagt Mia, dass die Tür noch auf ist.
In the conversation, Mia says that the door is still open.
