"perfectly demonstrate" is a correct phrase used in written English.
You can use it when you want to describe something as having been demonstrated in the most complete and thorough way possible. For example: "The student's project perfectly demonstrated her mastery of the subject matter."
These nodes perfectly demonstrate the accuracy of the model.
There are a few different images you can find in the media that perfectly demonstrate what life in Britain looks like in 2015.
Along with all the talking body parts in Big Mouth, which perfectly demonstrate the way that previously dormant bits of you feel like they're coming to life and ruining yours during puberty, the Hormone Monsters make for a disturbingly accurate portrayal of puberty's mess of urges and emotions.
Sheela Gowda's room of hair perfectly demonstrates this.
Gordon Brown last week perfectly demonstrated the dangers of letting tactical considerations dominate policy.
"We Have Always Lived in the Castle" perfectly demonstrates her talent for mixing creepiness with wit.
Power, even more than beauty, is LaBute's real concern as he here perfectly demonstrates.
That a government can be open about the application process yet still achieve great schools is perfectly demonstrated by Massachusetts and New York.
This week's horrendous abuse suffered by ITV London news presenter Charlene White, perfectly demonstrates why so many of us feel unable to stick our heads above the parapet.
For a nation that has begun to flex its military muscles, its presence on another world perfectly demonstrates its national prowess.
For decades its gingerbready, abandoned Victorian resort hotels perfectly demonstrated the triumph of entropy and the second law of thermodynamics: disorder always increases.
