der Zeigefinger
index finger
The finger between the thumb and the middle finger, often used to point at something.
Sie zeigte mit dem Zeigefinger auf die richtige Antwort.
She pointed to the correct answer with her index finger.

index finger
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index finger
The finger between the thumb and the middle finger, often used to point at something.
Sie zeigte mit dem Zeigefinger auf die richtige Antwort.
She pointed to the correct answer with her index finger.

The word 'Zeigefinger' (index finger) is a compound of the verb 'zeigen' (to show/point) and the noun 'Finger' (finger). So it is literally the finger with which you point at something.
Ein kleines Kind lernt früh, mit dem Zeigefinger auf Dinge zu deuten.
A small child learns early to point at things with their index finger.
The most common action connected with this word is 'mit dem Zeigefinger auf etwas zeigen' (to point at something with one's index finger). The preposition 'auf' requires the accusative here.
Der Reiseführer zeigte mit dem Zeigefinger auf das historische Gebäude.
The tour guide pointed at the historic building with his index finger.
The idiom 'mit erhobenem Zeigefinger' (with a raised finger) describes a lecturing or warning way of speaking. In a sentence, the phrase functions as an adverbial that modifies a verb of saying or explaining.
Die Lehrerin ermahnte die Schüler mit erhobenem Zeigefinger, leise zu sein.
The teacher admonished the students with a raised finger to be quiet.
finger
'der Finger' and 'der Zeigefinger' both belong to the hand. 'der Finger' is the general word for one of the movable parts at the end of the hand. 'der Zeigefinger' is only one specific finger: the finger between the thumb and the middle finger. The words can be confused because every index finger is a finger. But not every finger is an index finger. If it does not matter which finger is meant, 'Finger' fits. If you specifically mean the finger used for pointing, 'Zeigefinger' is more precise.

Anton zeigt mit dem Zeigefinger auf die richtige Antwort.
Anton points to the correct answer with his index finger.
Beim Kochen habe ich mir in den Finger geschnitten.
I cut my finger while cooking.