convex polygon
- noun
- Specialized
:
polígono convexo
- In geometry class, we learned how to identify a convex polygon by checking its angles.
Examples
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No line segment between two points inside a convex polygon will ever leave the shape.
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A simple example of a convex polygon is a triangle.
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A regular hexagon is an example of a convex polygon.
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Many convex polygons can be found in nature.
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A convex polygon has all its interior angles measuring less than 180°, such as a triangle or a rectangle.
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To determine whether a shape is a convex polygon, you can draw a line between any two points inside it and check if the line remains within the shape.
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Many geometric properties apply to a convex polygon, including that any two points within the polygon can be connected with a line segment that does not exit the polygon.
Antonyms
- Specialized
A polygon with at least one angle of more than 180 degrees that has a part pointing inward
How Concave
Surface Forms
Morphology
This is a straightforward modifier + noun combination: a 'convex' shape (one that bulges outward and has no inward dents) applied to a 'polygon' yields a polygon without inward angles — the standard geometric meaning is directly inferable from the two words. The compositional pattern is common cross-linguistically and follows normal English noun phrase formation, so a B1 learner who knows both constituents can reasonably deduce the MWE's meaning.
Etymology
Convex polygon: The term comes from two ideas: polygon means a shape with 'many sides' and convex means it 'bulges outward' with no dents. So, in a convex polygon any straight line between two points inside the shape 'stays inside', which is why it means a polygon without inward corners.