In this situation, why do you have to wait before turning right?

In this scenario, you correctly selected that you must wait because of both the pedestrian and the cyclist when turning right. According to German traffic rules, when turning right, you must always yield to pedestrians crossing the street you are turning into as well as to any cyclists using a bicycle path in your direction. This ensures the safety of vulnerable road users who may be crossing or moving alongside the road into which you want to turn. It is important to check for both before making your turn. The blue car, if it is only parked and not moving into your path, does not require you to wait. In future questions, always look for pedestrians and cyclists at intersections—drivers turning right are required by law (§9 StVO) to let them pass first.