Anytime you observe reflection and refraction, you get actually multiple reflections and refractions. Any reflected or refracted ray becomes an incident ray and is once again reflected or refracted at the boundary. The useful skill is then to recognize which ray is which one and select only the those needed for the experimet.
Disclaimer: This blog does not contain full documentation of the laboratory procedures, neither does it pretend to provide a complete lab instruction. Instead, it is designed to document special moments in the physics lab. Enjoy!