Giguere stopped the 10 shots he faced in the third period to preserve the shutout against the red-hot Blackhawks.
Net-minder Cristobal Huet was beaten three times on 34 shots for the Blackhawks, whose season-long eight- game winning streak ended.
On the power play, Anaheim went 3-for-5, and Chicago went 0-for-4.
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