infinitive
to take
We flew to Phoenix.
prepositional
Everyone is taking their seat now.
non-finite
There is a guy taking pictures.
A-OK
present participle
taking
Bob knew to leave quietly.
infinitive
I was quite taken with his performance.
non-finite
Taking pictures, the man nearly fell over the ledge.
A-OK
past tense
took
I am hopelessly devoted to you.
prespositional
Mom took two aspirin and went to lie down.
finite
Taking pictures, the ledge nearly tripped that man.
Dangling
3rd person singular present tense
takes
They sang along to the music.
prepositional
Take it easy!
finite
There is a man with a woman taking pictures.
Could go either way!
Who is taking the pictures?
past participle
taken
I haven't got time to waste.
infinitive
I'd love to take a trip together.
non-finite
Taking pictures is strictly forbidden.
That's a gerund, not a participle!