The midfielder scored a vital double, including the winner, as the Reds won again to heap more pressure on the top three sides who sit above them on the Premier League table.
Henderson's first goal came in the 20th minute when he received a pass from fellow brace scorer Daniel Sturridge at the top of the area, controlled with his left before hitting the top corner with his right to give his side a two-goal lead.
in the 74th minute, with scores tied at 3-3, Henderson was on hand to poke home from close range after his initial effort had been kept out by Swans keeper Michel Vorm.
It was a welcome sign for Reds boss Rodgers who feels Henderson, despite being in good form, has needed to contribute more on the scoresheet.
"He showed great leadership, you could see him driving the team on," Rodgers said.
"The first goal was outstanding, and we've been talking to him about getting up there because in training his finishing is sublime.
"But what was really pleasing was his second. We're telling him to arrive in the box because he's got the legs and the energy to do it.
"That's where his goal came from; there was a terrific reaction save from his first attempt and he followed it in. It was a really important finish for us."
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