Hexagon areas

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Take a regular hexagon. Construct segments connecting each vertex to the vertex two away from it. What shape results?

Compare the area of the original hexagon with the area of your new shape. Explain your answer.

What happens when you use the midpoints of the sides of the original hexagon instead of the vertices?

Here's a sketch to look at if you have The Geometer's Sketchpad and your browser is configured to use it as a helper application.

Here's another hexagon sketch.

Sarah Seastone
29 August 1995