Counterweight rhymes with:
welterweight, featherweight, paperweight, underweight, welterweight, actuate, antiquate, braithwaite, cowperthwaite, deadweight, featherweight, fluctuate, garthwaite, goldthwaite, heavyweight, hundredweight, menstruate, middleweight, paperweight, perpetuate, underweight, welterweight
Counterweight sounds like:
centrist, centrust, contract, contracted, contrast, contrasted, counteract, counteracted, countersued, countersuit, countryside