That right there is ultimately the problem here - Cantor wasn't thinking on his feet enough to dodge or refute an obviously slanted question.
In a lighter vein, Ann Coulter did this well when sparring with Joy Behar recently. Ann knew she was dealing with a hostile airhead, so Ann just played with Joy by challenging the premise of Joy’s argumentative questions.
BEHAR: So you would like him to continue torturing people, is that what you’re telling me?
COULTER: We don’t torture people, Joy. (LAUGHTER)
BEHAR: We don’t? That’s not what I heard.
COULTER: No. Though, if they’re really bad — no.
BEHAR: If they’re really bad, we torture them.
COULTER: I was going to say, they start showing them old “Views.”
BEHAR: “The View.” Oh, yes, you’ve been on the show.
That — did you feel we ganged up on you last time?
COULTER: No...
BEHAR: Or somewhat?
COULTER: It was a lot of fun. It was like the sisterhood of the traveling pants. ....
BEHAR: So what do you care if we ganged up on you?
COULTER: I didn’t say you ganged up on me. You did.
BEHAR: Well, you sort of acted like we did.
COULTER: No, I said it was a Joyful occasion.
For the Congressmen, some pre-deposition run-throughs with a trained litigator might help them answer, as they must, in an acceptable way. Cantor, et al. do need to accept that these journalists are the enemy, not just fellow-travelers of the Beltway who’ve invited them to a cocktail party.