The Predators may have their standard gear like the combistick, shuriken and plasma cannon while self-destruct may also be used but mainly for the final solution (if the dragons are way too much for them).
Gender: Male Location: 4th Street Underpass, Manhattan
Does the Predator get cloaking? If so, he could safely snipe the dragons from a distance. Conversely, without cloaking, he might be able to blast a couple before getting overwhelmed via spam fire. While he might be able to get some up close killshots and probably has too much on-hand weaponry to be outright eaten, the dragons are too mobile for him to handle a mid-flight swarm with fire breath, and he may require the nuclear option to get any en-masse kill. Victory is ultimately dependent on if he can get the female, which he might do if he is invisible and/or if the female is alone, but he will have to work for the win, and will be nigh impossible (sans nuke) if she has backup.
Doesn't matter. The humans were able to injure and kill it with weapons that are far inferior to what the Predator brings to the fight. Plus the humans had to run and hide most of the time. The Predator can be cloaked and study the dragons and take them out with well placed plasma shots and other fun items.
The dragons don't seem to work together from what we've seen. Predator could easily take them out individually. Even a few at a time with cloaking and ranged attacks.