to report / display / advertise
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to report
To report a person or situation to an authority, especially the police, because of a suspected crime or administrative offense.
Sie hat ihren Nachbarn wegen Ruhestörung angezeigt.
She reported her neighbor for disturbing the peace.
'Anzeigen' (to report/display/advertise) is a separable verb. In a main clause, the prefix 'an-' separates and comes at the end of the sentence.
Das Display zeigt den Akkustand nicht mehr korrekt an.
The display no longer shows the battery level correctly.
The context makes the meaning clear: In a legal context, it means 'bei der Polizei melden' (to report to the police). In a technical context, it means 'Informationen darstellen' (to display information). In a media context, it means 'eine Annonce schalten' (to place an ad).
Er hat den Diebstahl sofort bei der Polizei angezeigt.
He reported the theft to the police immediately.
When you report someone to the police, the person is in the accusative. The reason for the report is often added with the preposition 'wegen' (because of/for).
Der Radfahrer wurde wegen Falschparkens angezeigt.
The cyclist was reported for illegal parking.
The meaning 'inserieren' (to advertise/place an ad) is directly related to the noun 'die Anzeige', which means 'ad' or 'advertisement'.
Ich habe auf deine Anzeige in der Zeitung geantwortet.
I replied to your ad in the newspaper.
to show
'zeigen' and 'anzeigen' can both have to do with making something visible. 'zeigen' is the normal, general word: a person shows someone something. 'anzeigen' often fits with devices, screens, or symbols that make information visible. In addition, 'anzeigen' means to report someone or something to the police or an authority. Colloquially, 'zeigen' can also occur in this sense, but 'anzeigen' is more precise and more neutral for this. So the risk of confusion arises especially in technology and police-related contexts.
Der Fahrkartenautomat zeigt nicht nur den Preis, sondern auch die nächste Verbindung an.
The ticket machine displays not only the price, but also the next connection.
Vor dem Einkauf zeigt mir die App die nächste Filiale.
Before I go shopping, the app shows me the nearest branch.