
lebendig
alive
Being alive; not dead.
Die Retter suchten in den Trümmern nach lebendigen Personen.
The rescuers searched the rubble for people who were alive.
alive / lively
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alive
Being alive; not dead.
Die Retter suchten in den Trümmern nach lebendigen Personen.
The rescuers searched the rubble for people who were alive.

lively
Full of life, energy, and movement; very active and dynamic.
Berlin ist eine sehr lebendige Stadt mit einem reichen Kulturangebot.
Berlin is a very lively city with a rich cultural scene.

vivid
A depiction or narration that is so clear and visual that it seems real.
Seine lebendige Schilderung der Ereignisse fesselte alle Zuhörer.
His vivid account of the events captivated all the listeners.
The adjective 'lebendig' (alive/lively) is derived directly from the noun 'das Leben' (life). It literally means 'full of life' or 'having life'.
Trotz ihres hohen Alters ist sie noch sehr lebendig.
Despite her advanced age, she is still very lively.
In the meaning 'am Leben' (alive), 'lebendig' (alive) can also be used as an adverbial modifier to describe the state of the object. It answers the question 'Wie?' (How?).
Die Fische müssen lebendig ins Wasser zurückgesetzt werden.
The fish must be put back into the water alive.
When something is described as 'lebendig' (lively) in the sense of 'dynamisch' (dynamic), typical nouns are 'eine lebendige Stadt' (a lively city), 'eine lebendige Diskussion' (a lively discussion), 'ein lebendiger Austausch' (a lively exchange), or 'ein lebendiges Kind' (a lively child).
Nach dem Tor wurde die Diskussion unter den Fans sehr lebendig.
After the goal, the discussion among the fans became very lively.
In the meaning 'anschaulich' (vivid/clear), 'lebendig' (vivid) is often combined with words that have to do with storytelling or remembering. Typical phrases are 'eine lebendige Beschreibung' (a vivid description), 'eine lebendige Schilderung' (a vivid account), or 'lebendige Erinnerungen' (vivid memories).
Der Großvater erzählte uns lebendige Geschichten aus seiner Jugend.
Grandfather told us vivid stories from his youth.
living / alive
Lebend and lebendig can both express that someone or something is not dead. Lebend usually describes the state neutrally, while lebendig can additionally emphasize vitality or visible signs of life. Use lebend in a factual context and lebendig when the person or animal seems active and full of life.

Trotz der langen Reise war der Fisch noch lebendig.
Despite the long journey, the fish was still alive.
Im Aquarium sahen wir einen lebenden Fisch.
We saw a live fish in the aquarium.