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Mapping an Image Onto Itself

15 Sep

Last year I posted specifically about standard G-CO 3: Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

I wanted to share one of the questions that we put on the performance assessment for this unit.

09-15-2013 Image002

Many students created an appropriate polygon for this task. But I want them to learn not just to create – but to also construct. We are using dynamic geometry software on purpose. Can your polygon dynamically map onto itself?

Some could.

09-15-2013 Image00309-15-2013 Image004

And some could not.

09-15-2013 Image005 09-15-2013 Image006

Which is yet another indication that the journey continues…

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Posted by on September 15, 2013 in Geometry, Rigid Motions

 

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