Final answer:
Katniss gives Rue her jacket to protect her from the cold, indicating her compassionate nature and ability to retain humanity within the brutal environment of the Hunger Games.
Step-by-step explanation:
When Katniss and Rue decide to split up in The Hunger Games, Katniss gives Rue her jacket to protect her from the cold. This jacket is especially important for survival because it offers warmth in the chilly environment of the arena. This act of kindness reveals Katniss's compassionate and caring nature, as she is willing to sacrifice her own comfort to ensure the well-being of her ally, Rue. It showcases that despite the harsh circumstances of the Games, Katniss retains her humanity and is able to form meaningful bonds with other contestants.