Dear Wedding, Style, and Design Blogs:
To "compliment" something means to tell it that it looks nice, or that its personality glows like a shining star.
To "complement" something means to complete it, or to combine with it in such a way as to enhance or emphasize its qualities.
So you can compliment someone on their table runners, which are so complementary to the color of the napkins. If you're going to write about color schemes in any capacity, please learn the difference between these two words, unless you get a kick out of making your readers' heads explode.
PS: While you're at it, maybe brush up on the differences between its/it's and lead/led. You're the best, thanks.
Image by O-Akascha-O, via deviantart.