If, when you join
two points inside a figure, the resulting line segment also lies inside the figure, then the figure is convex.
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.
: Investigate the characteristics of a polygon that is generated by connecting the midpoints of consecutive sides of a polygon.
Quadrilaterals Inscribed in Quadrilaterals
: Explore properties of quadrilaterals constructed using the midpoint of given quadrilaterals.
Quadrilaterals Inscribed in Polygons
: How many quadrilaterals can be constructed using the vertices of polygons?