Electric fencing is when fencers are connected to an electric system via wires or in other cases Bluetooth. The system will be connected into the blade, and when the blade makes contact with the opposing fencer's lame, it will register as a point for the fencer. Dry fencing does not require anything electric, nor does it require lames. The judgement is simply left to the referee's eyes.
Foil is one out of the three forms of fencing. The target area for the fencer in foil, is the chest, torso, and lower neck depending on the type of mask you own. Anything else other than the chest, torso, and lower neck is considered off target, and thus not a point. Foil requires the rules of priority or, the right of way, which is important in determining if the fencer receives a point or not. Using right of way throughout the bout dictates who will win the point. Priority can be won by either moving on the strip first, parrying your opponent, if the opponent's attack misses, or by beating the blade. Foil moves usually at a nice pace compared to the speed of sabre and the slowness of épée.
The second out of the three forms of fencing. While épée is generally the slowest, it doesn't make it any less important. Épée fencing means that the whole body is a target. No matter what part of the body, épée fencing allows any touch as a point. There are no right of way rules in épée, and is solely based on whoever lands the point first. Épée discipline involves counterattack (stop-thrust and time thrust), since right of way is not involved.
Sabre fencing, the third of the three forms of fencing. Saber is highly fast paced. Sabre fencing uses the right of way like foil, and follows the same rules. The target area of sabre is a portion of the glove, the chest, a portion of the torso, and the whole mask. Something beneficial about sabre however, is that you do not have to land a touch with just the tip of the blade. You can use the length of the blade to land a touch.
Individual fencing is when a fencer competes alone in a competition, having no one with them, and aiming to win by themselves.
Team fencing is when there is an established group of fencers (ex. Team USA), who compete in a competition, still fencing alone, but having a better chance of winning by competing as a group and having a multitude of fencers with a wide range of skills.