Hi 
I took my bicycle to work yesterday because my car broke down.
I rode my bicycle to work yesterday because my car broke down.
I went to work by bicycle yesterday because my car broke down.
I went to work on my bicycle yesterday because my car broke down.
Are they all interchangeable and commonly used by native speakers?
I took my bicycle to work yesterday because my car broke down.
I rode my bicycle to work yesterday because my car broke down.
I went to work by bicycle yesterday because my car broke down.
I went to work on my bicycle yesterday because my car broke down.
Are they all interchangeable and commonly used by native speakers?