to dodge / avoid
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to dodge
To make a quick movement to the side in order to avoid being in the way of a person, vehicle, or obstacle and to prevent a collision.
Der Radfahrer konnte dem plötzlich öffnenden Autotor gerade noch ausweichen.
The cyclist was just able to dodge the car door that suddenly opened.
'Ausweichen' (to dodge / avoid) is a separable verb. The prefix 'aus-' goes to the end in a main clause. In subordinate clauses and infinitive constructions, the verb stays together.
Der Fußgänger wich dem Fahrrad schnell aus.
The pedestrian quickly dodged the bicycle.
A very important point: 'ausweichen' (to dodge / avoid) is always used with the dative. You dodge or avoid 'jemandem' (someone) or 'etwas' (something), not 'jemanden' or 'etwas' in the accusative.
Sie ist dem Ball geschickt ausgewichen.
She skillfully dodged the ball.
You can recognize the meaning from the object: If you dodge a concrete, physical obstacle (e.g. a car, a person), the literal meaning is intended. If you avoid an abstract concept (e.g. a question, a topic, a gaze), the figurative meaning is intended.
Ich musste einem großen Hund ausweichen.
I had to dodge a large dog.
to put / to set
'sich stellen' (to face) and 'ausweichen' (to avoid / dodge) form a clear contrast here. Someone who faces a problem, a question, or a difficult situation consciously engages with it and tries to deal with it. Someone who 'ausweicht' avoids the topic or the responsibility and does not answer directly. 'sich stellen' sounds active and honest. 'ausweichen' sounds more as if someone wants to get around something unpleasant.
Bei der Frage nach dem Fehler ist er immer wieder ausgewichen.
When asked about the mistake, he kept dodging the question.
Nach dem Streit stellt sich Paul dem Gespräch mit seiner Schwester.
After the argument, Paul faces the conversation with his sister.