Final answer:
The inverse of the original statement is, "If a line does not intersect one of two parallel lines, then it does not intersect the other." This differs from the concept of inversely proportional relationships, which involve a more-less relationship graphically represented by a curve that never cuts the axis. Light reflecting from two mirrors at right angles generates parallel incoming and outgoing rays.
Step-by-step explanation:
The inverse of the statement "If a line intersects one of two parallel lines, then it intersects the other" can be stated as "If a line does not intersect one of two parallel lines, then it does not intersect the other." This is based on the property that if a transversal intersects parallel lines, the lines continue indefinitely, maintaining their parallelism, and thus the transversal would intersect both or neither.
However, this is not to be confused with the mathematical concept of inversely proportional relationships, where two values have a more-less relationship and if plotted on a graph, create a curve that never cuts the axis. In the problem of reflecting light from two mirrors at right angles, the outgoing ray is parallel to the incoming ray because the angle of incidence equals the angle of reflection, maintaining the angle with the normal (perpendicular) making the route of the light ray symmetrical.
To illustrate proportions in a different context, if given dimensions in inches, one might write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another, such as in scaling or similar triangles.