RIDE: The American Sign Language (ASL) sign for "ride"
 

RIDE or "RIDE-IN"
The index and middle fingers of the dominant hand are "sitting" in the base hand's "C handshape." Move the base hand forward a short distance with the dominant hand "riding in" the base hand.
 

GET-IN:

GET-ON:
This sign is used for getting on things like a horse, a bike, a motorcycle, or a bull.

RIDE-ON:
After "getting on," move the hand forward a short ways. If you are riding on an animal, you can use an up and down rolling-type of movement:

If you are riding a bicycle or a motorcycle then you just use a smooth forward movement:
 

If you mean "rider" as in someone who is riding a bus or other "sit on a seat" conveyance, use this version:

RIDER = RIDE-in + PERSON:

Notes: 

Also see: GET-on
Also see: CARPOOL

CAR

MOTORCYCLE

BIKE

HORSE

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