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IM Geo.1.22 Lesson: Now What Can You Build?

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

What do you notice? What do you wonder?

The collection of designs in the applet below began from the construction of a regular hexagon. Choose one to use.

  • Record any rigid motions (rotation, reflection, or translation) you see in your design.
  • Use straightedge and compass moves to recreate the design.
  • Write down instructions for how to construct it.

Create your own design.

  • Write down the moves you followed so someone else can recreate your design. 
  • If you get stuck, consider reviewing all the constructions you have done so far. For an additional challenge, include examples of rigid motions or symmetry in your design.

Construct a tessellation with rotation, reflection, and translation symmetry.

Follow the instructions to make a design.

List everything in the design that is congruent. Explain how you know.

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