# What Point Is This?

Geometry Level 3

Let $$ABC$$ be any triangle, prolong the sides so that segments of the same color have the same length.

It can be shown that the six exterior points belong to the same circle $$\Gamma$$ [Try to prove this fact!]. Then complete the following sentence:

The center of $$\Gamma$$ is the $$\ldots \ldots \ldots$$ of triangle $$ABC$$.

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