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 points on the boundary will ever extend outside the shape. This property makes convex polygons important in various fields, including computer graphics and geometry, where they are often used for simplifying complex shapes and calculations.