Can you give me an example of "Counterpoint' in music, as I have asked my music instructor, read on Google, and it is still not clear?

I used to listen to and dance to a musical group called The Counterpoints" and they were simply one of the best bands around at that time, Lead Guitar, Base Guitar, Rhythm Guitar, Organist, and a great female singer. Never thought to ask why they called themselves The Counterpoints'.

Now I take music lessons, piano and violin. I asked my music teacher and she talked about 'Point/Counterpoint" in musical tempo etc.

Can anyone that knows music, give me an example of a musical 'piece' that plainly displays that part of Music Theory. i. e. Point/Counterpoint?

Can you give me an example of "Counterpoint' in music, as I have asked my music instructor, read on Google, and it is still not clear?
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