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.

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.
different / various
'verschieden' and 'lebendig' are opposites only in one specific meaning. 'verschieden' can mean, in elevated language, that someone has died. 'lebendig', on the other hand, means that a person or animal is alive. Important: In most everyday situations, 'verschieden' does not mean 'dead', but 'different'. As an opposite of 'lebendig', 'verschieden' therefore only fits in formal or literary language.

Nach dem Unfall war der Hund zum Glück noch lebendig.
After the accident, the dog was fortunately still alive.
Der ehemalige Bürgermeister ist im hohen Alter verschieden.
The former mayor passed away at an advanced age.