Question

The purpose of this exercise is to understand what happens when one applies consecutively two reflections. Consider the reflection r₁ with respect to an axis A₁ and another reflection r₂ with respect to another axis A₂. We consider the transformation, denoted T, which consists in applying the reflection r₁ followed by the reflection r₂.

1) Is the transformation T proper or improper ? (Justify)

2) If one applies the reflection r₁, then the reflection r₂, is it the same as applying the reflection r₂ then r₁? Justify your answer.

Answer 1