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A convex polygon is a closed figure where all its interior angles are less than 180° and the vertices are pointing outwards. The term convex is used to refer to a shape that has a curve or a protruding surface. In other words, all the lines across the outline are straight and they point outwards.
Illustrated definition of Convex: Curved outwards. Example: A polygon (which has straight sides) is convex when there are NO dents or indentations...
A convex shape is a shape where all of its parts "point outwards." In other words, no part of it points inwards. For example, a full pizza is a convex shape as its full outline (circumference) points outwards.
What is a convex shape in geometry? A convex shape is any two-dimensional object that has all of its interior angles measuring less than 180 degrees. Examples of convex shapes include triangles, circles, squares, rectangles, octagons, and polygons with more than four sides.
A geometric shape is convex if all its edges "point outwards". That is no part of it curves or faces inwards. If a shape is convex, a line segment drawn between any two points on the shape will always lie inside the shape.
A convex shape is one in which all interior angles are less than 180 degrees. A concave shape, on the other hand, is one in which at least one interior angle is greater than 180 degrees. Let's take a closer look at the difference between these two types of shapes.
In geometry, a subset of an affine space over the reals, or more broadly a subset of Euclidean space, is said to be convex if it contains the whole line segment connecting any two points in the subset.
