How to Make a Hexagon From Tangrams

Written by michael e carpenter
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How to Make a Hexagon From Tangrams
Hexagons are six-sided geometric shapes. (Photos.com/Photos.com/Getty Images)

A tangram is a seven-piece puzzle set that includes two large triangles, one medium triangle, two small triangles, a square and a parallelogram. The pieces are arranged to create different shapes and figures, including hexagons. The tangram originated in China and was considered a game for women and children. Tangrams are now commonly used in the classroom setting teaching geometry and problem solving skills.

Skill level:
Moderately Easy

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Instructions

    Five-Piece Triangle Only Hexagon

  1. 1

    Separate out all five triangles from the tangram set. The square and parallelogram are not required.

  2. 2

    Connect the two large triangles at the hypotenuse to create a square.

  3. 3

    Place the medium sized triangle's hypotenuse against one side of the square that was created using the large triangles.

  4. 4

    Connect the two small triangles at the right angles. This creates a new triangle that is the same size as the medium triangle.

  5. 5

    Place the newly made medium triangle on the opposite side of the square from the other medium triangle to finish the hexagon.

    Four-Piece Hexagon

  1. 1

    Remove the two large triangles and square from the tangram set.

  2. 2

    Place the medium sized triangle so that the right angle is positioned to the left.

  3. 3

    Add the parallelogram to the right of the medium triangle at the top.

  4. 4

    Invert one small triangle and place it beneath the parallelogram.

  5. 5

    Add the other small triangle so that its hypotenuse is against the right angle of the medium triangle.

    Seven-Piece Hexagon

  1. 1

    Connect the two large triangles together at the hypotenuse to create a diamond shape.

  2. 2

    Place the medium triangle so that its hypotenuse is touching the side of the bottom large triangle.

  3. 3

    Connect one small triangle and square on the opposite side of the bottom large triangle. The right angle of the triangle should be against the large triangle with the square directly beneath the small triangle.

  4. 4

    Add the parallelogram so that it touches both the medium triangle against one long side and fits with the square on the other side. There is only one way to insert the parallelogram to make this correct.

  5. 5

    Invert the last small triangle and place its hypotenuse against the bottom of the parallelogram to compete the hexagon.

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