Supplementary Investigation 23

The Image of a Line Not Passing Through the Center of Inversion

Tool(s) Geometers Sketchpad

Data File(s) si23

Focus The image of a line not passing through the center of inversion.

Tasks

1. Experiment with the drag pt and points P, Q, and R. To obtain the correct image following any movement of the drag pts, you must move points P', Q', and R' so that their distances from O match their calculated positions. When you have correctly done so, what shape does the image appear to be?

2. Where is the point whose image is O, the center of inversion?

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