Fox News contributor Liz Cheney on Sunday blasted President Barack Obama with the false claim that he had apologized to enemies of the United States and had abandoned Czechoslovakia, which has not existed since 1992.

During a panel on ABC's This Week, host Jake Tapper asked the daughter of the former vice president if she agreed with Republican presidential nominee Mitt Romney's assertion that Obama was "sympathizing" with the people who attacked the U.S. embassy in Libya and killed Ambassador Chris Stevens and other Americans.

"I think he did get it right," Cheney insisted. "We've now had three and a half years of Obama policy and it looks an awful lot like -- whether you're talking about the Mexico City speech in 2009, the Cairo Speech in 2009, the extent to which he's been apologizing for America, he's abandoned some of our key allies like Israel, Poland, Czechoslovakia. He's attempted to appease our enemies, the Iranians, for example, the Russians. ... The president himself has got a terrible record on national security, and it's clearly something that Gov. Romney ought rightly to be pushing."

"I think the governor handled it exactly right when he went out and condemned the embassy statement," she later added. "I think, frankly, it would be a tragedy for the nation if President Obama is allowed to effectively claim that he's been a successful national security president. And it would be a tragedy for the nation if the Romney campaign doesn't push this issue very hard."

Cheney concluded: "But there's no question but that we're weaker than we were when Barack Obama took office. And if he has four more years, we may well be unrecognizable."

An Associated Press fact check last week determined that President Obama never apologized for the United States or expressed sympathy for the people who attacked the U.S. embassy in Libya.

"The claim that Obama repeatedly has apologized for the United States is not borne out by the facts, especially if his full quotes are viewed in context," Washington Post fact checkers wrote in 2011. "Note to GOP speechwriters and campaign ad makers: The apology tour never happened."

As for the claim that Obama "abandoned" Czechoslovakia, that country was dissolved in 1992 -- over 16 years before he took office.

Watch this video from ABC's This Week, broadcast Sept. 16, 2012.