As a (somewhat) random comment on Dawn's
first image...
Dex/Str = Dexterity/Strength
The more dexterity a sword requires, the faster the swordsperson has to be. Meaning they'll need less force behind their strokes and that the swords are lighter. A Rapier is a very light sword and is more about quickness verses hard-knocking blows.
The more strength a sword requires, the heavier it is and the more force the swordsperson will have to put behind it. The Broadsword is a very heavy sword (partially due to its larger blade) but you might notice (on the image - which isn't purely accurate) that all 5 swords require some dexterity.
All swordspeople need to have some move-ability and quickness, their level of strength will depend on their training, what they were trained to use, and (yes) their gender. You aren't likely to see a swordswoman running around with a broadsword (Boromir's sword - for you Lord the Rings fans out there) you may not even see them with the standard longsword. The Sabre (Arwyn's sword in the movies) or the short sword is a more likely choice swordswomen, along with the Rapier.
Another note I'd like to make about sword fighting in general:
People blocked with the flat of their blades. Have you ever tried hitting the sharp ends of two knives together? You'll easily end up with small nicks. Now, imagine putting all your strength behind a blow and hitting the sharp edge of another sword. Big nick! And knights and soldiers, yes they carried around whetting stones (stones used to sharpen their blades) but these stones were not meant to repair the damage made from hitting the sharp edges of two swords. These nicks had to be repaired by a blacksmith, and when you're at war, you don't get the chance to take your blade to a blacksmith after every battle.
Thus, it was the natural idea to block with the flat of the sword. Besides saving the edges for attacking blow, the flat edges of a blade has more give to it, allowing better absorption of the opponent's blow. Saving you from some of the vibration of your sword as it absorbs the energy. If you block with the sharp edges, the stiffer edge, your sword will have to absorb much more energy.
So! Not only do you save yourself from trekking to the blacksmith every other day, you save your hands from getting numb and your sword from breaking under the strain of absorbing a blow. All this to say, at times, a swordsperson may have to defend with the sharp edges as their only resort.