Katniss is torn. She likes Peeta (really does) but at the same time she's madly in love with whats - his - name that she's known for a very long time, and she denies both because she's afraid if she admits to either and they have children their children will get reaped into The Hunger Games arena.
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The gamekeepers announced that 2 people can win the Hunger Games if they are from the same district. Katniss wanted to save him because she thought he might help herself win and also because she felt like she owed Peeta her life.
Peeta kisses Katniss because he loves her, but Katniss kisses him to protect Peeta.
katniss got sever burns during a fire the gamesmakers set. this is ironic because she is know as the girl on fire or fire girl because her costume for the opening ceremonies was on fire, he stylist did this to make her noticeable. it was safety fire.
Peeta back stabbed Katniss to protect her. Peeta wants Katniss to win so that she can go back for Prim and her mother, and also he has loved her since the first day of school. He is trying to protect Katniss, so he joins with the Careers and does all he can to keep them away from her by misleading them. When they find her in the tree, Peeta is not there, so Cato tries to climb the tree to get to her, but breaks a branch in the attempt. Then, Peeta gets there and suggests that they wait until she comes down because, "she can't stay up there forever." That gives her more time, and thankfully, Haymitch sends her some burn cream from her encounter with the fireballs. Mainly, Peeta joined the Careers to make sure of Katniss' safety.
Trust is a theme in The Hunger Games, because Katniss is always questioning who is actually on her side throughout the entire series. For example, if you kiss the wrong person, you might end up stabbed or shot. If you have read the books, you should know that she only questions people's trust in the arena and when District 13 and The Capitol are at war.
Because the capital claims district twelve to be a safe haven, although it is the poorest district and can not afford food for it's inhabitants.
She passes out a lot, so it varies. Sometimes its questions like in the first book if Peeta really saved her or not before passing out from the Tracker Jackers. When she does it in Peeta's arms, it could be said safety and security, and probably confusion on her feelings for him. In the final book, most the time its confusion as she is often on morphling.