Many quadraplegic people have limited use of their arms. Pretty much everything I know about quadraplegics I learned from the most excellent documentary, Murderball, which is about quadraplegic rugby, a full-contact sport played in wheelchairs. Athletes are assigned a number based on their degree of movement ability and your team can field a certain total, so strategically you can opt for a larger number of less-mobile players.
If you watch Murderball, which I'd recommend, make sure to watch the DVD extras, which includes an episode of Jackass starring some of the film's athletes.
It is confusing for those outside the community. A person who had full use of her legs but severely limited use of her arms and hands would not be considered "paraplegic". However, if she had no use of her legs, the same condition of her arms would classify her as "quad" rather than "para".
Yes, it would be nice if we were all inherently sensitive to this nuance. That isn't the case, so I appreciate that your comment actually attempted to inform rather than simply castigating like sibling comments.
If you watch Murderball, which I'd recommend, make sure to watch the DVD extras, which includes an episode of Jackass starring some of the film's athletes.