Tangram Table

Use the pieces of the tangram puzzle to make the basic shapes (without overlapping) then complete the table showing which shapes are possible and which are not. Hold down the shift key [or shift] while you drag to rotate the pieces.

Tangram Tangram Tangram Tangram Tangram Tangram Tangram
Number of pieces:
  1 2 3 4 5 6 7
Triangle*








Rectangle*








Trapezium*








Parallelogram*








Pentagon*








Fill in the table then click the button that will appear below.

Check

*For the purposes of this exercise the following definitions apply:

A Triangle is a plane shape with three straight sides

A Rectangle is a four sided shape with opposite sides parallel and all angles the same. A square is also a rectangle.

A Trapezium (or trapezoid) is a four sided shape with one, and only one, pair of opposite sides parallel. more...

A Parallelogram is a four sided shape with opposite sides parallel but adjacent are not equal. A rhombus is also a parallelogram. more...

A Pentagon is a plane shape with five straight sides

As you make each shape you could take a screen grab (use the Snipping Tool in Windows) to keep a record of your findings.

The tangram puzzle is believed to have been invented in China and then brought to Europe by trading ships in the early 19th century. It became very popular in Europe during World War 1 and is now one of the most popular dissection puzzles in the world.

Have you tried the Tangram Template activity or T Puzzle yet?

There are solutions with diagrams to this puzzle but they are only available to those who have a Transum Subscription.

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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