Final answer:
The coach used a Simple reflection, which is a direct mirroring of the client's statement that acknowledges their self-control during an emotional situation.
Step-by-step explanation:
The type of reflection that the coach used is A. Simple reflection. In the provided dialogue, the coach mirrors the client's statement without adding new insights or interpretations, acknowledging the client's self-control in managing his emotions through mindfulness.
By stating "You were able to control your emotions by stepping away," the coach gives a direct reflection of what the client shared without offering an amplified meaning or showing empathy, and without giving a double-sided perspective. This technique can encourage further conversation and help the client to delve deeper into their experiences and emotion management strategies.