Question

what word describes the segment that connects non-adjacent vertices of a polygon?

side
diagonal
perpendicular bisector
line segment

Explanation:

Analyze the geometric definition

A polygon consists of vertices connected by boundary segments.

• Connecting adjacent vertices forms a Side.
• Connecting non-adjacent vertices forms a Diagonal.

Evaluate the given options

• Side: Connects adjacent vertices.
• Diagonal: Connects non-adjacent vertices.
• Perpendicular Bisector: A line perpendicular to a segment at its midpoint.
• Line segment: A general term for any path between two points, not specific to non-adjacent vertices of a polygon.

Answer:

• (A) Side
• (B) Diagonal (Correct answer)
• (C) Perpendicular Bisector
• (D) Line segment