"Perfect counterpart" refers to something or someone that perfectly complements or matches another thing or person. It signifies a strong and harmonious connection or relationship between two entities. Full definition
The film reminded me of Inside Llewyn Davis (Cannes 2013), about the way great talent often stays hidden, yet if that film was near perfect - this one is its totally perfect counterpart. (firstshowing.net)
In his fixation on the economic, Rorty is, ironically, the perfect counterpart to much of the «country club» leadership of the Republican Party. (firstthings.com)
Another interesting point can be found in verse 20 which seems to suggest (with the word «Neged») that Woman was mean't to be equal and opposite; a perfect counterpart. (redeeminggod.com)