Question

Prove that if alternate interior angles of a transversal L to two lines L₁ and L₂ are equal, then L₁ and L₂ are ultraparallel.

Answer 1

Using the Law of Reflection, we can prove that when light reflects off two mirrors at a right angle, the outgoing ray is parallel to the incoming ray, due to the relationship between angles of incidence and reflection.

Step-by-step explanation:

To demonstrate that when light reflects from two mirrors that meet each other at a right angle, the outgoing ray is parallel to the incoming ray, we can use the Law of Reflection. The Law of Reflection states that the angle of incidence is equal to the angle of reflection. In the case of two mirrors at a right angle, the incoming ray reflects off the first mirror at an angle equal to its angle of incidence.

This reflected ray then becomes the incident ray for the second mirror, where it again reflects at an angle equal to its angle of incidence. Because of the right angle between the two mirrors, these two reflections cause the outgoing ray to make a 180-degree rotation from the direction of the incoming ray, thereby making the outgoing ray parallel to the incoming ray.