Evade checks are a type of sneak check made with the number on the front of monster card (if passed, you run away from the monster, if failed, the monster attacks you).
I'd say the monster damages you..
Anyway, great list Avi!
And true. But as I said, I wrote this for newbies. I tried to include as much essential information for making informed decisions as possible. And I guess I felt that wasn't essential? Or I just took it for granted and missed it. I mean, it's not like "attacks you" is official Arkham jargon.