A convex polygon is a type of polygon where all interior angles are less than 180 degrees. This means that if you draw a line between any two points inside the polygon, the line will always remain inside the shape. Common examples of convex polygons include triangles, quadrilaterals, and pentagons. In a convex polygon, no line segment connecting two vertices will ever lie outside the polygon. This property makes convex polygons easier to work with in geometry and computer graphics. The simplest convex polygon is the triangle, while more complex ones can have many sides, such as the hexagon or octagon.