freudig
joyful
Filled with joy or expressing joy.
Sie nahm die Nachricht von ihrer Beförderung freudig auf.
She received the news of her promotion joyfully.

joyful
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joyful
Filled with joy or expressing joy.
Sie nahm die Nachricht von ihrer Beförderung freudig auf.
She received the news of her promotion joyfully.

The adjective 'freudig' (joyful) is derived directly from the noun 'die Freude' (joy). It describes a person or thing that is filled with joy.
Es war ein freudiges Wiedersehen nach so langer Zeit.
It was a joyful reunion after such a long time.
'Freudig' is very often used as an adverb to describe how an action is carried out. In this case it remains unchanged and gives more detail about the verb.
Die Kinder liefen der Mutter freudig entgegen.
The children ran joyfully toward their mother.
Common combinations are 'freudig überrascht' (joyfully surprised), 'freudig erregt' (joyfully excited), or verbs such as 'freudig erwarten' (to joyfully await), 'freudig begrüßen' (to greet joyfully), and 'freudig zustimmen' (to agree joyfully).
Wir erwarten freudig die Ankunft unserer Gäste.
We joyfully await the arrival of our guests.
happy / lucky
'glücklich' and 'freudig' both have to do with joy. 'glücklich' more often describes a person's inner state: someone feels satisfied and happy. 'freudig' often describes how joy becomes visible, for example in a look, a smile, or a greeting. Learners may confuse the words because both are positive. A practical tip: a person is 'glücklich'; a reaction, a face, or a tone is often 'freudig'.

Als Tom die gute Nachricht hörte, lächelte er freudig.
When Tom heard the good news, he smiled joyfully.
Sie ist glücklich, weil ihre Schwester zu Besuch kommt.
She is happy because her sister is coming to visit.