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 nth segment: Divide sides of a polygon to construct polygons in the interior region of another polygon.
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