With compliments

compliment and complement and their adjectives complimentary and complementary

Let's start with the "i" word, compliment. 

to pay someone a compliment

a compliments slip is sent with a package

if you are given something "with our compliments" it means it is free of charge

"compliments of the season" is another way of saying season's greetings

similarly 

a complimentary remark

the review was less than complimentary

a complimentary drink = a free drink

so the "i" words are to do with saying nice things, being polite

Remember it by  "i" in polite

 

it should be, of course, "the wine complemented the meal"

The "e" words are to do with accompanying, going along with

the wine complements the main dish

complementary therapies

the staff members have complementary skills

Test yourself

1. He compl_mented the children for their good behaviour.
2. The Research Council for Compl_mentary Medicine.
3. Compl_mentary colours next to each other look balanced.
4. A compl_mentary welcome pack is supplied.
5. Steak with a compl_ment of seasonal vegetables.

 
Answers: paste upside down answers into FLIP

˙sǝlqɐʇǝƃǝʌ lɐuosɐǝs ɟo ʇuǝɯǝldɯoɔ ɐ ɥʇıʍ ʞɐǝʇs 5
˙pǝılddns sı ʞɔɐd ǝɯoɔlǝʍ ʎɹɐʇuǝɯıldɯoɔ ɐ 4
˙pǝɔuɐlɐq ʞool ɹǝɥʇo ɥɔɐǝ oʇ ʇxǝu sɹnoloɔ ʎɹɐʇuǝɯǝldɯoɔ 3
˙ǝuıɔıpǝɯ ʎɹɐʇuǝɯǝldɯoɔ ɹoɟ lıɔunoɔ ɥɔɹɐǝsǝɹ ǝɥʇ 2
˙ɹnoıʌɐɥǝq pooƃ ɹıǝɥʇ ɹoɟ uǝɹplıɥɔ ǝɥʇ pǝʇuǝɯıldɯoɔ ǝɥ 1