There is one specific scene that bothers me in this episode. Columbo is in Mark MacAndrews' office talking with Kay Freestone. Kay offers up possible motive showing all the hate mail and death threats the network gets. Columbo definitively states that it's impossible because Mark knew his killer. He says, due to the position of his eye glasses resting on top of his head, that he never took the time to "see" his killer approaching him as he lay on the couch. My response to that would've been, "Lieutenant, isn't it possible he had his eyes shut, either resting or taking a cat nap?" How easy would that rebuttal have been for Kay?

Yeah,you're right. But Columbo would have just said " Oh , i didn't think of that. Thank you very much". But he still gets his little dig in to start getting the suspect to start squirming. :)

Also agree… yet she missed that move, so it’s on with the game, a game that includes familiar patterns, e.g. killer offers up some kind of a red-herring (death threats)(always a nice little signal for Columbo), Columbo trails off looking for or forgetting something (where’s that paper?) and it is the murderer who brings the conversation back, in this case “Why is there no doubt about it?” So it’s about the evidence but it’s really about Columbo’s tactics, like earlier when he gave the whiplash schtick when she offered if there was anything she can do to help (let's play the absent minded game). Besides, it is true that the victim knew his killer, with all this coming right back at Kay as Columbo simultaneously flips the death threat thing on its head. Advantage Columbo.