How do you test a public/private DSA keypair?

I found a way that seems to work better for me:

ssh-keygen -y -f <private key file>

That command will output the public key for the given private key, so then just compare the output to each *.pub file.

For DSA keys, use

 openssl dsa -pubin -in dsa.pub -modulus -noout

to print the public keys, then

 openssl dsa -in dsa.key -modulus -noout

to display the public keys corresponding to a private key, then compare them.

I always compare an MD5 hash of the modulus using these commands:

Certificate: openssl x509 -noout -modulus -in server.crt | openssl md5
Private Key: openssl rsa -noout -modulus -in server.key | openssl md5
CSR: openssl req -noout -modulus -in server.csr | openssl md5

If the hashes match, then those two files go together.