
jemandem/etwas gegenüberstehen
to face
To be confronted with a situation, problem, or challenge.
Wir stehen einer großen finanziellen Herausforderung gegenüber.
We are facing a major financial challenge.
to face / to stand opposite
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to face
To be confronted with a situation, problem, or challenge.
Wir stehen einer großen finanziellen Herausforderung gegenüber.
We are facing a major financial challenge.

to stand opposite
To be physically positioned on the opposite side of someone or something.
Die beiden Boxer standen sich vor dem Kampf schweigend gegenüber.
The two boxers stood opposite each other in silence before the fight.

to feel about
To have a particular attitude or opinion toward someone or something.
Ich stehe dieser neuen Regelung sehr skeptisch gegenüber.
I feel very skeptical about this new regulation.
'Gegenüberstehen' (to face / to stand opposite) is a separable verb. In a main clause, the prefix 'gegenüber' goes at the end. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Er steht dem Projekt kritisch gegenüber.
He is critical of the project.
This verb always requires an object in the dative case. You stand opposite or face 'jemandem' (someone) or 'etwas' (something), not 'jemanden' or 'etwas' in the accusative.
Der Angeklagte stand dem Richter gegenüber.
The defendant stood opposite the judge.
In the physical meaning, the verb is often used reflexively: 'sich gegenüberstehen' (to stand opposite each other). This emphasizes that two or more people or things are looking directly at each other or are positioned in front of each other.
Die beiden Mannschaften standen sich vor dem Spiel auf dem Feld gegenüber.
The two teams stood opposite each other on the field before the game.
When the verb describes a confrontation, the dative object is usually an abstract challenge. Typical words are 'Problem' (problem), 'Aufgabe' (task), 'Herausforderung' (challenge), or 'Entscheidung' (decision).
Das Unternehmen steht großen wirtschaftlichen Problemen gegenüber.
The company is facing major economic problems.
To express an attitude, the verb is almost always combined with an adverb that describes the opinion. Typical adverbs are 'skeptisch' (skeptical), 'kritisch' (critical), 'positiv' (positive), or 'offen' (open).
Neuen Technologien stehe ich grundsätzlich offen gegenüber.
I am generally open to new technologies.
to oppose / approach
If you gegenüberstehen someone or something, you are initially facing a confrontation or have to deal with it. If you entgegentreten someone or something, you actively resist it. Gegenüberstehen therefore describes more of a situation, while entgegentreten describes a deliberate response to it.

Im Finale steht sie einer starken Gegnerin gegenüber.
In the final, she faces a strong opponent.
Als die Gegnerin unfair spielt, tritt sie ihr entschlossen entgegen.
When her opponent plays unfairly, she firmly stands up to her.