Two Reflections

1) Which polygon is the reflection of which over which line? How do you know?
2) Play with moving the lines. If you consider moving from the purple to the blue, what motion is it? Is it always the same?
3) How does moving the lines affect the composition?
4) Use the reflection tool to reflect the purple polygon over the blue line then the green line. Is it the same as the reverse composition? What does this mean about composition as an operation?
5) Why did the author color the objects as he did?

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Posted at mathhombre.blogspot.com.

John Golden, Created with GeoGebra