Question

question 20 (5 points) listen the figure is a rectangular prism. identify which one of the line segments in the given figure is perpendicular to \\(\overline{bf}\\). a) \\(\overline{ae}\\) b) \\(\overline{cg}\\) c) \\(ad\\) d) \\(bc\\)

Explanation:

Step1: Recall Perpendicular in Prism

In a rectangular prism, adjacent edges meeting at a vertex are perpendicular. $\overline{BF}$ is a vertical edge (assuming the prism has vertical and horizontal edges).

Step2: Analyze Each Option

• Option A: $\overline{AE}$ is parallel to $\overline{BF}$, not perpendicular.
• Option B: $\overline{CG}$ is parallel to $\overline{BF}$, not perpendicular.
• Option C: $\overline{AD}$ is parallel to $\overline{BF}$, not perpendicular.
• Option D: $\overline{BC}$ meets $\overline{BF}$ at vertex $B$, and in the rectangular prism, they are adjacent edges (horizontal and vertical), so they are perpendicular.

Answer:

D) $\overline{BC}$