product of geometric transformations
Source: Spanish Mathematical Olympiad 1976 P3
December 23, 2022
geometrygeometric transformation
Problem Statement
Through a lens that inverts the image we look at the rearview mirror of our car. If it reflects the license plate of the car that follows us, , draw the image we receive. Also draw the one obtained by permuting previous transformations, that is, reflecting in the mirror the image that the license plate gives the lens. Is the product of both transformations , reflection in the mirror and refraction through the lens, commutative?