One important quotation comes early in the book, when Katniss crosses the fence to hunt. As she hunts, she thinks about her life in District Twelve and how hard it is for the people there; most can't even go into the woods to pick apples, instead relegated out of fear to the barren coal-mining soil inside the fence.
"District Twelve. Where you can starve to death in safety," I mutter. Then I glance quickly over my shoulder. Even here, in the middle of nowhere, you worry someone might overhear you.
(Collins, The Hunger Games, Google Books)
This quote sets up the world and gives an idea about how the people inside it feel; they are told they are safe, but can't grow enough to eat, and the paranoia of the overpowering government is so strong that they fear cameras and microphones even out in the woods. As it turns out, that fear is well-founded, although not in this particular area. This quote shows the irony of living in "safety" while starving, and how badly the citizens fear the government.
Some of the really awesome and intriguing quotes the characters say are " I wish I could freeze this moment right here right now and live it forever". "You should wear flames more often they suit you." Katniss expresses this after Petta kisses her." In addition a really cool quote in the book is " the more likeable she is the more deadly she is. This quote really makes the reader understand how Katniss's feelings change so fast when the capitol congratulates her. Her fury raises because she hates being part of their game, although she has never felt stronger or more in love in her life. Another quote that Peeta expresses at the end of the third book to Katnisss is " You love me real or not real and Katniss says real". The quotes truly help the reader visualize the images of these two characters and their actions throughout the three novels.