Matthews Gray
05/26/2024 · Primary School
We say that a polygon is concave if it has a section that "points inwards You can imagine that this part has " Polygons that are not concave are called convex polygons
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That's correct! A polygon is classified as concave if at least one of its interior angles is greater than 180 degrees, which creates a "dent" or inward-pointing section. In contrast, a convex polygon has all interior angles less than or equal to 180 degrees, meaning that all vertices point outward, and there are no indentations.
To summarize:
- **Concave Polygon**: At least one interior angle > 180 degrees; has at least one vertex that "points inward."
- **Convex Polygon**: All interior angles ≤ 180 degrees; all vertices point outward.
This distinction is important in geometry and has implications for various properties and calculations related to polygons.
Quick Answer
A concave polygon has at least one angle over 180 degrees and an inward-pointing section. A convex polygon has all angles under or equal to 180 degrees and all vertices point outward.
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