Wang Lawson
08/04/2023 · Junior High 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 causes a section of the polygon to "point inwards." This inward-pointing section creates a "dent" in the shape of the polygon.
On the other hand, a convex polygon has all its interior angles less than or equal to 180 degrees, meaning that all points on the boundary of the polygon "bulge outwards." In a convex polygon, any line segment drawn between two points inside the polygon will lie entirely within the polygon.
To summarize:
- **Concave Polygon**: At least one interior angle > 180 degrees; has an inward-pointing section.
- **Convex Polygon**: All interior angles ≤ 180 degrees; no inward-pointing sections.
If you have any further questions or need more examples, feel free to ask!
Quick Answer
A concave polygon has an interior angle greater than 180 degrees and points inwards. A convex polygon has all interior angles less than or equal to 180 degrees and points outwards.
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