Final answer:
Without a complete problem statement or details provided on the triangles and segments, it is not possible to conclude the correct option between MQ = NQ or MN < or > BC / 2. Optics principles involving angles of incidence, reflection, and refraction are relevant but cannot be applied without more information.
Step-by-step explanation:
The scenario described seems to be dealing with optics, specifically the principles of reflection and refraction in triangles. Since the actual problem statement with the relevant information for the triangle and its segments is not provided, it is not possible to determine whether MQ = NQ or MN is less than or greater than BC / 2. As such, there isn't enough context or data to ascertain the correct option in the scenario. However, I can explain that in geometrical optics, the angle of incidence is the angle the incident ray makes with the normal to the surface at the point of incidence. If triangles are in different mediums, Snell's Law would apply, which states that the ratio of the sines of the angles of incidence and refraction is equivalent to the ratio of the phase velocities in the respective mediums, or equivalently, the ratio of the indices of refraction.