Inversion

In the plane, the inverse of a point with respect to a circle with center and radius is a point such that and are on the same ray with an endpoint , and . Explore the inverse of a point, line, circle and a polygon:
  • Click on a button to show/hide an object.
  • Move the object by pointing to it and dragging it.
  • Try different position of the object with respect to the circle (outside, inside, intersecting, tangent etc.)
All original objects are blue and the images are red.