Discovering Isometries

Mathías Tejera, Sep 13, 2022

[b]For these activities you must take all the time you need, don't hurry up... Think! [/b] [i]"A person with a new idea is crazy until the idea is proven right" Mark Twain[/i]


  • 1. Transformations #1
  • 2. Transformations #2

1.

Transformations #1

Mystery
Our task consist on discover what this new tool does. The questions will guide your exploration.
Apply the tool to the point that appears on the screen.
What's going on? If you drag the point, what happens to the second point?
Can you apply this tool to any point on the plane?
Are there points that transform in themselves? (Fixed points)
How many fixed points are there in this transformation? Do they comply with any particular condition?
– Mathías Tejera

2.

Transformations #2

Look at the GeoGebra window and try to find out what the new tool does.[br]
Try applying the mysterious tool to a point, what happens? What if you "drag" the point?
To what points can you apply the transformation?
Is there any point that transforms into itself? How many?
What kind of transformation is it? Can you identify their elements?
– Mathías Tejera

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