Question

the diagram below is a right rectangular prism. all the angles shown measure 90°. complete the following sentence. answer attempt 1 out of 2 (overline{nr}) and (overline{os}) are .

Explanation:

Step1: Recall properties of right rectangular prism

In a right rectangular prism, opposite edges are parallel and congruent. Also, edges that are not intersecting and lie on parallel faces are parallel.

Step2: Analyze \(\overline{NR}\) and \(\overline{OS}\)

Looking at the right rectangular prism, \(\overline{NR}\) and \(\overline{OS}\) are edges that do not intersect and are on faces that are parallel (the front and back faces or similar parallel faces). In a right rectangular prism, such edges are parallel. Also, since the prism is right - angled, these edges are also congruent in length (as opposite edges in a rectangular prism are congruent), but the main relationship here based on their orientation is that they are parallel (and also congruent, but the key geometric relationship for these two edges is parallelism).

Answer:

parallel (and congruent, but the primary relationship here is parallel)