battledore vs badminton racket

battledore and badminton racket both are nouns.

Word	Noun	Adjective	Verb	Adverb
battledore	Yes	No	No	No
badminton racket	Yes	No	No	No

As nouns, battledore and badminton racket are synonyms defined as:

battledore and badminton racket: a light long-handled racket used by badminton players

Other synonyms of battledore include badminton racquet.

battledore (noun)	badminton racket (noun)
an ancient racket game	a light long-handled racket used by badminton players
a light long-handled racket used by badminton players