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. [list=1] [*] [i]Can a reflection of a reflection be a rotation?[/i] 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. [*] [i]What is your conjecture about the position of the rotocenter? [/i] Change the positions of the lines to try to confirm over several cases. [*] [i]What is your conjecture about angle of rotation? [/i] Try to confirm. You may need to create a new object in GeoGebra to do this. [/list]