
sich treffen
to meet
To come together with someone, either by arrangement or by chance.
Ich treffe mich heute Abend mit Freunden im Kino.
I'm meeting friends at the cinema this evening.
to meet / to hit
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to meet
To come together with someone, either by arrangement or by chance.
Ich treffe mich heute Abend mit Freunden im Kino.
I'm meeting friends at the cinema this evening.

to hit
To reach a target accurately with a shot, throw, or strike.
Der Pfeil hat genau die Mitte der Scheibe getroffen.
The arrow hit exactly the center of the target.

to make a decision
To choose one of several options; to come to a decision.
Wir müssen bis morgen eine endgültige Entscheidung treffen.
We have to make a final decision by tomorrow.

to affect
To touch, affect, or concern someone or something, often negatively, emotionally or physically.
Die Nachricht von seiner Krankheit hat uns alle tief getroffen.
The news of his illness deeply affected us all.

to be convenient/inconvenient
An impersonal expression used to say that a time or situation is convenient or inconvenient.
Es trifft sich gut, dass du gerade anrufst, ich wollte dich auch etwas fragen.
It's convenient that you're calling right now; I wanted to ask you something too.

to capture
To guess, find, or capture something, often the right thing or the essence of a matter.
Mit dieser Beschreibung hast du seinen Charakter perfekt getroffen.
With this description, you captured his character perfectly.
It is important to distinguish between 'sich treffen' (to meet) and 'treffen' (to hit/affect). 'Sich treffen' means that two or more people meet. 'Jemanden/etwas treffen' means to hit a target or to affect someone.
Ich treffe mich heute mit einem Freund.
I'm meeting a friend today.
When arranging to meet with a person, you use the preposition 'mit' (+ dative). The place of the meeting is often given with 'an' or 'in' (+ dative).
Wir treffen uns morgen mit den Kollegen.
We're meeting with the colleagues tomorrow.
'Treffen' is part of many fixed noun-verb collocations. The most common are 'eine Entscheidung treffen' (to make a decision), 'Vorbereitungen treffen' (to make preparations), and 'eine Vereinbarung treffen' (to make an agreement).
Wir müssen für die Party noch einige Vorbereitungen treffen.
We still have to make some preparations for the party.
In a figurative sense, 'treffen' (to affect/hit) can touch someone emotionally, usually negatively. It is often combined with adverbs such as 'tief' (deeply), 'hart' (hard), or 'persönlich' (personally).
Seine unfreundlichen Worte haben sie sehr getroffen.
Her unfriendly words affected her deeply.
The impersonal expression 'Es trifft sich gut/schlecht, dass ...' (It is convenient/inconvenient that ...) is used to say that a time or situation is suitable or unsuitable.
Es trifft sich gut, dass du da bist, du kannst mir helfen.
It's convenient that you're here; you can help me.
In the literal sense, 'treffen' means to hit a target, for example with a ball, arrow, or shot. A well-known idiom for this is 'ins Schwarze treffen' (to hit the bullseye).
Die Bogenschützin hat mit jedem Pfeil ins Schwarze getroffen.
The archer hit the bullseye with every arrow.
'Treffen' can also mean that you guess something correctly or capture the most important point of a matter exactly. A very common idiom is 'den Nagel auf den Kopf treffen' (to hit the nail on the head).
Mit deiner Bemerkung hast du den Nagel auf den Kopf getroffen.
With your remark, you hit the nail on the head.
to see
Sich sehen and sich treffen can both express meeting someone. „Sich treffen“ puts more emphasis on coming together, whether by arrangement or by chance, whereas „sich sehen“ focuses more on the encounter or seeing each other again. Use „treffen“ for an arrangement and „sehen“ for the contact itself.

Nach der Arbeit treffen wir uns im Café.
After work, we'll meet at the café.
Nach der Arbeit sehen wir uns im Café.
After work, we'll see each other at the café.