Pentagons
To begin this investigation one should construct an arbitrary pentagon using Geometers SketchPad.
Now, lets consider the following:
What polygon is
formed by connecting the midpoints of a pentagon?
Another pentagon
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.