The end pieces on a loaf of bread. These slices are the most despised of all bread slices as everyone reaches around them to get to a normal piece. Having a Judas slice served to you feels like betrayal because you know the person giving it to you just wants to finish off the loaf so they can open a new one. Name is derived from John 13:26 where Jesus indicated which disciple was to betray him at the Last Supper by dipping bread into a dish and giving it to Judas Iscariot. The bread - if taken from a whole loaf - would have been one of the ends, thus making it the Judas slice.
"Hey bro, want a sammich? Just got two slices left!"
"Yeah, the Judas slices. No thanks!"
"I'll just throw it out then."