A convex polygon is a simple polygon in which all interior angles are less than 180 degrees, meaning that no line segment between two points on the boundary lies outside the polygon. This characteristic ensures that every line drawn between any two points inside the polygon remains within its boundaries, which plays a crucial role in determining the areas of regular polygons and composite figures. Convex polygons can have various numbers of sides, but they are distinct from concave polygons, where at least one interior angle exceeds 180 degrees.
congrats on reading the definition of convex polygon. now let's actually learn it.