Construct polygons using a dynamic geometry software that are inscribed in a circle or circumscribe about a circle.
Explore with pentominoes.
How many triangles are formed?
If the perimeter remains the same, can the area change?
Can you draw points on a piece of paper so that it is not possible to connect them to form a convex pentagon?
Divide a given shape into 4 congruent shapes.
Compare the perimeters of polygons to the circumference of the circle.
Use the sides and diagonals in a regular polygon to create a round robin tournament.
Consider the number of diagonals in a triangle, quadrilateral, pentagon, hexagon, heptagon, and octagon.
Find polygons that have line symmetry. Many polygons do not have line symmetry.
Determine the number of symmetry lines a polygon has.