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International team MMM. Dynamic puzzles and tangrams. Monika Schwarze Pestalozzi Gymnasium Unna. Example of a puzzle. Try to make a rectangle whose length is twice the broadth. Click into the puzzle to try it out with GeoGebra or download the file. How to construct?.

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dynamic puzzles and tangrams

International team MMM

Dynamic puzzles and tangrams

Monika Schwarze Pestalozzi Gymnasium Unna

example of a puzzle
Example of a puzzle

Try to make a rectangle whose length is twice the broadth.

Click into the puzzle to try it out with GeoGebra or download the file

how to construct
How to construct?

This puzzle of 7 pieces shall be constructed.All pieces of the puzzle should be constructed so that they are movable and turnable in the GeoGebra plane.

construction step 1
Construction: step 1

Construct a retangle consisting of two squares. All edges of the 7 pieces have to be constructed (and remain stable when you drag on points A or B).

construction step 2
Construction: step 2


Hide all lines.

And now you construct a dragable and turnable copy of the triangle 1.

- Draw the triangle ABG with the command „polygon“.

  • Draw then a stable polygon by clicking on A,B,G, A and then directly in the interior of the triangle ABG.
  • Then you get triangle 2. You can move & turn it!

triangle 2

construction step 3
Construction: step 3

Construct the other parts in the same way.

Start e.g. for the square with points I and E so that not all points for dragging the pieces will lay at the same position.

construction step 4
Construction: step 4
  • Color all construced copies of polygons.
  • Mark all points that make the pieces turnable with a big, black cross.
  • Then hide all other lines and points.
  • Change the position of the puzzle pieces by moving and turning.
  • That‘s it!
ideas for your puzzle
Ideas for your puzzle


More ideas on the internet by using google pics

Good luck and have fun!