Octagons
To begin this investigation one should construct an arbitrary octagon using Geometers SketchPad.
Now, lets consider the following:
What polygon is
formed by connecting the midpoints of an octagon?
Another octagon
What conjectures can be formed concerning congruences, similarities, area and perimeter?
No visual relationships can be seen.
Follow up by analyzing the measurements for properties that hold.
No numerical relationships can be seen.