Tournament hand

[aceragclubs]

3 hours of work down the tubes on this one. Pokerroom $5 MTT, 297 entries, down to 13 players. I was chip leader with about 40 players left, but a couple of unsuccessful steals and cold cards leave me 5th out of the 13 players left, with 40k. Villian is 4th in chips with about 45k. I am in the big blind (blinds 1k-2k). Folded to villian on the button who minraises to 4k. I have KQ of spades. Considered re-raising, but with my chip position I just wanted to see a flop. Folding never really entered my mind. I call. I have no real read on villain as he was just moved to our table. Flop is K-9-2, one spade. I check, villain bets 4k, I raise to 10k. He re-raises to 16k. This kind of threw me off. There are lots of horrible plays in these $5 tourneys...but the small re-raise had me wondering. AA? 99? If I folded I would have 26k left, a small but workable stack. Calling seemed pointless and he would bet any hand on the turn again that was beating me. I thought until the last possible second and pushed. He called quickly with K9, and I got no help. Anyone fold this to the re-raise? Pot was pretty large, and he ended up with a pretty good chip lead after the hand. Since the real money was in the top 3 spots, I went for it. Thoughts?