Friday, March 12, 2010

The Complete Quadrilateral: The Circumcentric Circle

Construct the circumcenters of each of the four triangles. The four circumcenters lie on a circle. However, there is more to this circle than that. Slowly drag the PURPLE slider to the left to reveal the centers one by one. As you reveal the circumcenters, can you guess what will happen?

Once again, what will happen when two of the sides are parallel? What about two pairs of sides being parallel?

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