Facebook have come up with a verification method that sounds like a good idea in principle, but in reality is rather ill-conceived.
It asks you to identify people in photographs. This would perhaps work if people always used the site the way they are supposed to, but people do silly things like posting up pictures of them as babies and (correctly) identifying as them, or posting their cat and (wrongly) tagging it as them. I've also seen quite a few people put up a christmassy image and tag all their friends somewhere in it. Another person I know because she had my font tattooed onto her, posted the tattoo and tagged it as me (flattering, but a little confusing).
To make matters worse, I went through a phase where random people would friend me and I'd friend them back. This was okay for a while, though when my friend list got over 300 people I realised it was time to be more selective.
Also, I have plenty of Facebook friends that I haven't seen in the flesh since we were at school together over twenty years ago. Some still look more or less the same, but some bear no resemblance, and the chance of me identifying from a recent photo is slim.
You don't have to get all the images right, but even allowing mistages, the chances of me identifying enough friends when you rule out baby photos, pet photos, people I don't really know, and photos that are just wrong, are at best hit and miss.
Anything wrong with trusting me to pick a secure password in the first place?