The phrase "the complement to" is correct and usable in written English.
It is typically used to refer to something that serves to make another thing complete, often in the form of an object or phrase. For example, "This meal is the perfect complement to a glass of wine."
Gargoyles were the complement to saints; Leonardo's caricatures were complementary to his untiring search for ideal beauty.
The picture frame became the complement to the fence and the wall, doubling their entrapment of natural space as property.
Tonight Martin clicked as the complement to the team's designated star, Stephon Marbury, and together they helped the Nets race to a 24-point second-quarter lead.
This hospital becomes the complement to Esther's college education, a place where she can learn possible modes of survival for an intelligent woman in 1950s America.
How he got back on the field may confound him, but Levens is there, providing the complement to Barber, a punishing back to mix with Barber's slashing style.
James was expected to be the complement to a passing game that would be developed around quarterback Matt Leinart, their first-round draft pick; and two of the N.F.L.'s best young receivers: Anquan Boldin and Larry Fitzgerald.
A winter must-have, the Mittenberry is the perfect complement to the iPhone, BlackBerry, or your device du jour.
"Loving oneself," he argued, is the "libidinal complement to the egoism of the instinct of self-preservation".
It's the perfect complement to the last of the evening's sunshine.
The aubergine undertone of her skin is the perfect complement to the vibrant hue.
They were the perfect complement to the wines, their rich butteriness softening the tannins.
