# Math Help - Dividing a hexagon into 12 congruent parts

1. ## Dividing a hexagon into 12 congruent parts

I need help on a project. Here is the problem : Dissecting a Hexagon
Draw 6 regular hexagons. Then dissect each hexagon into twelve identical or congruent parts in 6 different ways. Note: A regular hexagon has 6 equal angle and 6 equal sides.
Also, my teacher told me that one of them involved squares, but I can't figure that one out. Please help. I already have these:

2. 1 answer is to make 2 triangle one going<|and the other |>. they would be intersecting each otherto create a 6 pointed star

3. Originally Posted by pyromir
1 answer is to make 2 triangle one going<|and the other |>. they would be intersecting each otherto create a 6 pointed star
That is not congruent/equal, but thanks anyways.

4. ## Re: Dividing a hexagon into 12 congruent parts

There are many different ways, these are just some of them.

5. ## Re: Dividing a hexagon into 12 congruent parts

Hello, marspatrol!

Draw 6 regular hexagons.
Then dissect each hexagon into twelve identical or congruent parts in 6 different ways.

A regular hexagon can be dissected into 24 equilateral triangles.

Code:
          *---*---*
/ \ / \ / \
*---*---*---*
/ \ / \ / \ / \
*---*---*---*---*
\ / \ / \ / \ /
*---*---*---*
\ / \ / \ /
*---*---*
Then the 12 congruent parts are diamond-shaped.
Code:
        *
/ \
*   *
\ /
*

Here are two possible dissections . . .

Code:
          *---*---*
/ \   \   \
*   *---*---*
/ \ / \   \   \
*   *   *---*---*
\ / \ /   /   /
*   *---*---*
\ /   /   /
*---*---*

Code:
          *---*---*
/   / \   \
*---*   *---*
/ \   \ /   / \
*   *---*---*   *
\ /   / \   \ /
*---*   *---*
\   \ /   /
*---*---*