Prosecutors say Reaves followed Curtis from NCCU in Durham to Raleigh, forcing her to pull over along I-540 and then repeatedly slashed and stabbed her with a knife. Her body was discovered by drivers passing on the highway January 30, 2008.
Reaves, who was a minister at Cedar International Fellowship in Durham, was found guilty of first-degree murder. The judge sentenced him to life in prison without the possibility of parole.
Curtis's father said he's still perplexed by the motive and that his daughter probably died confused.
"She probably don't even know why this happened to her. And we probably will never know why it happened to her except the fact that he wanted the young man," said Sherman Jones.
That Reaves will now spend the rest of his life in prison is a comfort to Jones.
"There's no more waiting, no more wondering. Now I know. And maybe now we can go on with our life," he said. "I cry, but they, they, they, they're tears of joy."
"This man is a predator," he continued. "He killed my daughter. He killed my family and he really killed hisself. So he has no life either and that's exactly how I want it."