Home | Geometry | Polygons | Recommended Investigations

 recommended investigations Tessellation Restrictions: Determine which polygons can tessellate. Vertex Angles in a Regular Polygon: Investigate how the vertex angle of a regular polygon relates to its number of sides. Sum of Angles in a Polygon: Explore the relationship between the number of sides of a polygon and the sum of its interior angles. Sum of Exterior Angles: Determine the sum of the exterior angles in any polygon. Constructing a Square: Use a dynamic software tool to construct a square in different ways. Medial Polygons: Investigate the characteristics of a polygon that is generated by connecting the midpoints of consecutive sides of a polygon. Triangles in Hexagons: Determine the probability that a point inside a hexagon is also inside a triangle that shares common vertices. Pentagons with Restricted Perimeter: Find the largest possible area of a pentagon with a restricted perimeter. Apothem and Area: Explore the relationship between the apothem, perimeter, and area of a regular polygon. Divide into n-th segment: Divide sides of a polygon to construct polygons in the interior region of another polygon. Submit your idea for an investigation to InterMath.