Basically, what I'm referring to is this (I used it a lot, glaringly obviously so, in my "The Mountain Witch - Tenra Bansho Crossover" this last weekend):
GM: "There's a mural on the wall here. It disturbs you (points at a player). What is the mural, and why do you find it disturbing?"
GM: "As you pass the graveyard, a gravestone marker attracts your attention (points at player). Whose is it?"
GM: "The ghost mouths something to you. What is it saying?"
That sort of thing. This is something I refer to as "The Mountain Witch trick", since it's used a lot in that game. I use it in a lot of games, particularly when I'm stuck and need a player-nudge for Something Cool to happen soon.
I used to refer to it as... the word I've forgotten*. Basically the counselling trick where you turn the person's statement back into a question at them, ala ELIZA (the computer program):
Person: I like bananas.
Counsellor: Why do you feel that you like bananas?
But I'm trying to think of a better name. Not necessarily "technical term in the consulting world", but if there is such a word I'd love to hear it.
* Wait, is it "reflection"?