Final answer:
Tchaikovsky's ballet compositions include 'Swan Lake,' 'The Nutcracker,' and 'Romeo and Juliet,' while 'Symphony No. 5' is a symphonic work and not a ballet.
Step-by-step explanation:
The compositions by Tchaikovsky that are examples of his music for ballet are “Swan Lake”, “The Nutcracker”, and his overture-fantasy “Romeo and Juliet”, which is often associated with ballet although it was not originally composed for one. His “Symphony No. 5” is not a ballet, but rather a classical symphonic work. While Igor Stravinsky was known for The Rite of Spring, a modernist ballet composition, Tchaikovsky belongs to the Romantic era alongside composers like Brahms, Schumann, and Chopin.
Tchaikovsky's music for ballet includes the compositions:
"Swan Lake"
"The Nutcracker"
These two ballets are among Tchaikovsky's most iconic works. They were composed specifically to accompany ballet performances and are still popular and frequently performed today.