You may be setting up a collision if the cyclist cannot stop in time. Check the blind spot over your right shoulder, then turn. Do not blow your horn at a cyclist. Generally it startles the rider and may cause the rider to swerve and possibly cause a collision. If a bicycle rider decides to ride on the street when there is a bicycle path available, give the rider the needed space.
Some studies show there are more bicycle collisions on bike paths than on the highways.
Pedestrians, motorists and bicyclists can share the state's roads if they just treat each other with respect and courtesy.