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 ∠2 and ∠3? explain. click the icon to view the law of reflection. using the you can show that ∠2 and ∠3 are law of reflection, alternate interior angles theorem, alternate exterior angles theorem, same - side interior angles postulate, corresponding angles theorem.

Explanation:

Step1: Identify parallel - mirror situation

The two mirrors are parallel. The path of light creates transversals across the parallel - mirror system.

Step2: Apply angle - relationship theorem

When two parallel lines (the mirrors) are cut by a transversal (the path of light), the alternate interior angles are equal. In this case, ∠2 and ∠3 are alternate interior angles.

Answer:

Using the Alternate Interior Angles Theorem, you can show that ∠2 and ∠3 are equal.