Noonan scored the late equalizer when Dallas defender Jair Benitez couldn't clear and Chad Barrett found him at the top of the area. The substitute then fired a shot past Dallas goalie Chris Seitz to earn a point for the Galaxy (3-3-1).
Brek Shea got the only goal for Dallas (3-3-3) when he converted a penalty kick in the 61st minute.
Seitz was denied in his bid for his first shutout since 2009.
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