Reflection of a reflection (1)
- Mark Sawula
In the figure below, the black R was reflected across the purple line. The image of that reflection (the purple 'ya') was then reflected across the cyan line.
- Can a reflection of a reflection be a rotation? One conjecture is that this two-stage transformation is equivalent to one rotation. Adjust the angle of rotation and the rotocenter, so that the orange R coincides with the cyan one.
- What is your conjecture about the position of the rotocenter? Change the positions of the lines to try to confirm over several cases.
- What is your conjecture about angle of rotation? Try to confirm. You may need to create a new object in GeoGebra to do this.