Relative and parallel keys
Tell relative keys from parallel ones and find both for any key.
Relative keys
Relative keys are a major and a minor key with the same key signature. C major and A minor have no sharps or flats; G major and E minor have one sharp.
The tonic of the relative minor is degree VI of the major key, a minor third below its tonic. The other way round, the tonic of the relative major is degree III of the minor, a minor third above.
C major and its relative A minor: the same notes, a different tonic
Practice: The relative of G major
Practice: The relative of D minor
Practice: Two keys, one signature
Parallel keys
Parallel keys are a major and a minor key with the same tonic: C major and C minor, A major and A minor. Their key signatures differ: C minor has three flats.
Parallel minor lowers degrees III, VI and VII of the major, so its signature is three steps "towards the flats".
The tonic triads of C major and C minor
Don't mix them up: relative keys share a signature and differ in tonic; parallel keys share a tonic and differ in signature.