
abrutschen
to slip
To unintentionally lose one's grip or footing and slide downward.
Pass auf, der Pfad ist nass und man kann leicht abrutschen.
Be careful, the path is wet and you can easily slip.
to slip / to slide down
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to slip
To unintentionally lose one's grip or footing and slide downward.
Pass auf, der Pfad ist nass und man kann leicht abrutschen.
Be careful, the path is wet and you can easily slip.

to slip
To get worse in performance, quality, or level.
Seit dem Trainerwechsel ist die Mannschaft auf den letzten Tabellenplatz abgerutscht.
Since the change of coach, the team has slipped to last place in the table.

to slide into
To fall into a negative social or moral state.
Nachdem er seinen Job verloren hatte, drohte er in die Alkoholsucht abzurutschen.
After he lost his job, he was in danger of sliding into alcoholism.

to slip down
For clothing: not to stay in the intended position, but to slide downward.
Der Träger meines Rucksacks rutscht mir ständig von der Schulter ab.
The strap of my backpack keeps slipping off my shoulder.
'Abrutschen' is a separable verb. In a main clause, the prefix 'ab-' goes at the end of the sentence. In subordinate clauses or in the infinitive with 'zu', the verb stays together.
Vorsicht, der Hang rutscht bei Regen ab.
Careful, the slope slides down when it rains.
Since 'abrutschen' always describes a movement or a change of state, the perfect tense is formed with the auxiliary verb 'sein' (to be) in all meanings.
Ich bin auf der vereisten Treppe abgerutscht.
I slipped on the icy stairs.
The literal meaning of sliding downward is transferred to other areas. In a figurative sense, you can 'abrutschen' (slide) into a bad situation, poor performance, or a low social status.
Ohne Unterstützung der Familie wäre er vielleicht in die Kriminalität abgerutscht.
Without support from his family, he might have slid into crime.
When a decline is described, a preposition is often used to indicate the result. Typical are 'abrutschen auf' + accusative (for a rank) or 'abrutschen in' + accusative (for a state).
Der Verein ist auf den vorletzten Tabellenplatz abgerutscht.
The club has slipped to second-to-last place in the table.
When clothing or objects slip down from a person, that person is in the dative. The slipping item is the subject of the sentence.
Mir rutscht ständig die Hose.
My pants keep slipping down.
to slip / slide
Rutschen generally refers to an unintended gliding movement on a smooth surface. Abrutschen, by contrast, emphasizes that someone or something loses its grip, an edge, or a position and then slides downward. Use “rutschen” for the general movement and “abrutschen” when the loss of grip is the focus.

Die Kiste rutschte von der Rampe ab und fiel nach unten.
The crate slipped off the ramp and fell downward.
Die Kiste rutschte auf dem glatten Boden langsam nach unten.
The crate slowly slid downward across the smooth floor.