I'm back on the complimentary/complementary train because for me personally it's one of the most egregious errors. No, your shoes do not "compliment" your dress, unless your shoes can talk. The shoes
complement your dress (we hope
).
If a person is complimentary, they are being nice and saying flattering things. If a thing is complimentary, it is a gift, or free. I only wish my shoes and dress were free!
Compliment:
noun
a
polite expression of praise or
admiration.
"she paid me an enormous compliment"
verb
politely congratulate or praise (someone) for something.
"he
complimented Erica
on her appearance"
Complimentary:
adjective
1.
expressing a
compliment;
praising or approving.
"Jennie was very
complimentary about Kathy's riding"
2.
given or supplied free of charge.
"a
complimentary bottle of wine"
Complement:
noun
a thing that completes or brings to perfection.
"the libretto proved a perfect
complement to the music"
verb
add to (something) in a way that enhances or improves it; make perfect.
"a classic blazer
complements a look that's stylish or casual"
Complementary:
adjective
1
completing something else or making it better : serving as a complement
- She wore a new outfit with a complementary scarf.
2
used of two things when each adds something to the other or helps to make the other better
- The print and online publications are complementary, not competitive.
- The company owes its success to the complementary talents of its co-owners.
3
going together well : working well together
- My spouse and I have complementary goals.
- complementary flavors
(Source: Oxford Languages and Britannica, for both American and British English)