0.25/0.50$ - BB defense vs reg steal from SB. Other line...

Just an usual hand, no matter which of those two lines you take.
Checking the turn there is perfect, imo:f_thumbsup:!

in a video here on pokerstrategy it talked about relationship between hand strenght and line (OOP)
x/r - for value our best hands (sets., etc)
x/c - hands not strong enough to x/r but too strong to x/r bluff or x/fold
x/c - hands that are good enough to float (FD, OESD, GS+overcard)
x/r - bluffs hands are not strong enough to float
x/f - worst hands

this is not set in stone of course.
IP , as u played i think betting turn is overplaying our hand so check is only move as he showed he has some strenght, our fold equity decreases so no reason to bet flush draw.
I dont think the reason is to induce bluffs because he didnt call a raise on flop just to rebluff you on later street.

Which is the name of this video? The standard line was CFRT; with the Ace on the turn probabily I dont raise. It is true that not paying me to rebluffinf then, but he pay me on flop with a lot of worse hands. The turn it´s not good so, the only option is to wait a bluff on the river; Dont you think? I can not bet on the turn because he do not pay me any hand worse as you say, when he was a TAG.

I like the turn check here. Not extremely many worse hands can call a bet and plenty of better hands (Ax, Qy) will call. (Small pairs will call of course, but there are more Qx than, say, 5x) A good ace (or better) will check-raise making the draw to a flush more expensive. Besides, if you hit a flush you are almost certain to get in a raise OTR anyway if he has something worth betting river (if you check turn) = something worth calling turn (if you bet turn).