Question

you can construct a periscope with two parallel mirrors, as shown in the diagram. a ray of light enters from the object. it reflects off the first mirror and then the second mirror to the eye. use the diagram to answer the question.
what is true about ∠1 and ∠2? explain.
click the icon to view the law of reflection.
using the you can show that ∠1 and ∠2 are

Explanation:

Step1: Recall the Law of Reflection

The Law of Reflection states that the angle of incidence is equal to the angle of reflection. Let's assume the normals to the two parallel mirrors.

Step2: Analyze the angles

Since the mirrors are parallel, the relationship between the angles of incidence and reflection for the two - mirror system can be derived. Let the first reflection have an angle of incidence \(i_1\) and angle of reflection \(r_1=\angle1\) (by Law of Reflection). For the second mirror, due to the parallel nature of the mirrors and the geometry of the light - ray path, the angle of incidence \(i_2\) for the second mirror is related to the first - reflection angles. After using the properties of parallel lines (alternate interior angles for the normals which are parallel as the mirrors are parallel) and the Law of Reflection (\(i = r\) at each mirror), we can show that \(\angle1=\angle2\).

Answer:

\(\angle1=\angle2\)