Definition check: Is a polygon correctly defined as a planar region enclosed by straight line segments only, or can it also be bounded by curved arcs and still be called a polygon?

Introduction / Context:Terminology precision matters for communication, measurement, and CAD commands. A polygon, by definition, is a closed planar figure formed exclusively by straight line segments (sides). Curved boundaries produce other figures (e.g., circular sectors or curvilinear polygons), not true polygons.

Given Data / Assumptions:

• We are working in Euclidean plane geometry.
• “Planar” means all vertices lie in a single plane.
• Edges of a polygon are line segments, not arcs.

Concept / Approach:Validate the boundary type. If any boundary portion is curved, the figure is not a polygon. CAD tools reflect this: polygon commands expect a count of sides (segments), while curves are handled by arc/spline entities.

Step-by-Step Solution:

Verification / Alternative check:Count sides as segments; measure curvature (zero for segments). CAD entities for polygons generate segments; arc entities are separate and incompatible with polygon-only constraints.

Why Other Options Are Wrong:Qualifiers like “regular only,” “small arcs,” or “isometric sketches” do not alter the straight-edge requirement.

Common Pitfalls:Calling rounded polygons “polygons” after filleting corners; these become composite shapes, not strict polygons.

Final Answer:Incorrect