i Register
In some senses, properly is marked as obsolete, colloquial. Watch for register when choosing this word.
ADJ.
able, certain, developed, done, growing, shut, trained, trained
The door wasn't shut properly, so cold air kept coming through the gap.
VERB + PROPERLY
brushing, can't, care, closes, didn't, digested, distributed, doesn't
She didn't brush her teeth properly before bed last night.
PROPERLY + NOUN
quality, tool
You need the properly quality tools if you want to fix your car yourself.
PREP.
after, until, up
The house wasn't finished until it was properly decorated.