Woods defeated Aaron Baddeley in the third round, setting up a quarterfinal match with K.J. Choi. Both the quarterfinals and semifinals will be held Saturday, with the two survivors meeting in a 36-hole title match Sunday.
Baddeley overcame an early two-hole deficit and turned his meeting with Woods into a tense duel at the Dove Mountain Gallery Course.
"Matches like that are a lot of fun to be a part of," Woods said.
It was the first time Woods and Baddeley had been paired since the final round of last year's U.S. Open. Baddeley had a two-shot lead on that occasion, but triple-bogeyed the opening hole en route to an 80.
Choi reached the quarterfinals Friday with a 2-up victory over Paul Casey. Defending champion Henrik Stenson will face Woody Austin in another quarterfinal match, while Justin Leonard will take on Vijay Singh and Stewart Cink will play current U.S. Open champion Angel Cabrera.
Singh went eight extra holes before eliminating Rod Pampling. Leonard defeated Stuart Appleby 2 & 1.