Taken from http://en.wikipedia.org/wiki/Hip_hop_dance

Hip hop dance refers to dance styles, mainly street dance styles, primarily danced to hip hop music, or that have evolved as a part of the hip hop culture.

By its widest definition, it can include a wide range of styles such as breaking, popping, locking and krumping, and even house dance. It can also include the many styles simply labelled as hip hop, old school hip hop (or hype), hip hop new style and freestyle.

Taken from http://en.wikipedia.org/wiki/Lindy_hop

Lindy Hop is an African American dance that evolved in New York City in 1927. It is a fusion of many dances that preceded it or were popular during its development but is mainly based on jazz, tap, breakaway and charleston. Lindy Hop co-evolved with jazz music and is a member of the swing dance family. It is frequently described as a jazz or street dance.

In its development, Lindy Hop combined elements of both solo and partner dancing by using the movements and improvisation of African dances along with the formal eight-count structure of European partner dances. This is most clearly illustrated in Lindy's basic step, the swingout. In this step's open position each dancer improvises alone; in its closed position men and women dance together.

Adapted from http://en.wikipedia.org/wiki/Street_dance

Street dance is an umbrella term used to describe dance styles that evolved outside of dance studios in everyday spaces such as streets, school yards and nightclubs. They are often improvisational and social in nature, encouraging interaction and contact with the spectators and the other dancers.

Street dance is also commonly used specifically for the many hip hops and funk dance styles that began appearing in the United States in the 1970s, and are still alive and evolving within hip hop culture today: such as breakdance, popping, locking, hip hop new style and house dance. These dances are popular on levels, as a form of physical exercise, an art form, and for competition, and are today practised both at dance studios and other spaces.

Adapted from http://en.wikipedia.org/wiki/Breakdancing

Breakdance, breaking, b-boying or b-girling is a street dance style that evolved as part of the hip hop movement among African American and Puerto Rican youths in Manhattan and the South Bronx of New York City during the early 1970s. It is normally danced to pop, funk or hip hop music, often remixed to prolong the breaks, and is a well-known hip hop dance style. A breakdancer, breaker, b-boy or b-girl refers to a person who practises breakdancing.

Today, breakdancing culture is a remarkable discipline somewhere between those of dancers and athletes. Since acceptance and involvement centres on dance skills, breakdancing culture is often free of the common race, gender and age boundaries of a subculture and has been accepted worldwide.