They were all drunk and were focusing on a pig rather than her, so katniss shot the arrow at the apple in the pig's mouth.
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if katniss shoots cato to kill him, cato will take peeta with him into the mutts below. in response to this, peeta has katniss shoot cato's hand. You might be talking about why Cato hates Katniss if so its because Katniss and Peeta took the croward away from them when they road in on their charriots at the begining when Katniss gets her name "The girl on fire"
1. Katniss believes that the consequences for her actions might be arresting her, executing her, cutting her tongue turning her into an avox. Katniss thinks to her self that she wasn't trying to kill them she was just angry that they were ignoring her, if she was trying to kill them they'd be dead.
Cato had a long and painful death. When he came through the forest and running at the Cornucopia, Katniss attempted to shoot him with an arrow but hit his body protector. Then the dangerous muttation wolves came and Cato scaled the Cornucopia. Each one had the traits of a dead tribute. Such as Glimmer's mutt, it had blonde hair and her sea green eyes. Katniss pushed Cato off and into the pack who nibbled him to a chunk of meat. Katniss and Peeta returned to their cave expecting him to die but when the muttations left Katniss had to shoot her final arrow at Cato and plunged it into his head
the hunger games
In the book she shoots him in the skull but in the movie she shoots his chest