INSpiREzine Tangrams! | Page 31

TANGRAM FORMATION

The Tangram is a set of seven geometric shapes, also called tans, made up of five right isosceles triangles (two large, one medium, and two small), a square, and a rhomboid.

Let’s take a closer look at the specific shapes in a tangram and the relationships between them.

An interesting aspect of the tangram set is that all of the tangram pieces can be completely covered with the small tangram triangles. The small triangle is thus the unit of measure when comparing the areas of the tangram pieces

Since the medium triangle, the square, and the rhomboid are each made up of two small tangram triangles, they each have an area 2x that of the small triangle. The large triangle is made up of four small tangram triangles and thus has an area 4x that of the small triangle and twice that of the other tangram pieces.