Bad fold.
I like your line up to the fold, but I would c/r on turn

My thinking is that the op has AT or maybe JJ. He has called the flop because he is unsure of your strength. When you check turn, looks like you have missed and were just c-betting flop - now his hand looks a lot stronger to him and he throws in a large bet. Now you should come over top.

This should be enough to take hand down here and the op will be a bit more wary of trying to push you off pots when you act weak in subsequent hands (when you probably are weak and would like to see a cheap card).