Images of F: Inversion

In the mathlet below you will find a polygon in the shape of an F, and the image of this F as a result of a reflection in the shown circle.

Drag the vertices of F around. Drag point P along the perimeter of F and observe how P' moves. Drag the center of the circle around, and change the radius of the circle.

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Steve Phelps, Created with GeoGebra