Yes they are. There are also rules around how cyclists and motorists should behave including how to pass others and rightbof way. Which is probably why miserable sods hate them as cyclists are given quite a bit of protection and onus is on drivers in larger vehicles to take precautions around smaller road users.
Equally some cyclists are utter utter tossrags and flout rules and do dumb things. They're not supposed to ride on pavements (unless there's a marked segregated cycle path) but many do and put pedestrians at risk. I had some tit with a delivery bag merrily coming around a blind bend on my side of the road last week.
I cycle as well. There's bad behaviour by many road users. There's a lot of angry white van drivers around...
Rules for all types of road users have been updated in The Highway Code to improve the safety of people walking, cycling and riding horses.
www.gov.uk