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how to make a regular hexagon out of 6 equilateral triangles?
Put one angle of each triangle at the center of the hexagon.
Why is the center of gravity different between regular and irregular shapes?
Each body has its own centre of gravity. The centre of gravity of two regular shapes - an equilateral triangle and a square will be different so why should the cog of a regular and an irregular shape not be different?
A regular hexagon rotates counterclockwise about its center. It turns through angles greater than 0 and deg and less than or equal to 360 and deg. At how many different angles will the hexagon map ont?
6 times.
Where can you find a definition and picture of a concentric hexagon?
"Having the same center" is the meaning of concentric. A regular hexagon in a concentric circle can be viewed by using the link and looking at the "active construction" window where there is a short animation of the construction of a hexagon inside a circle. It is posted by our friends at Wikipedia, where knowledge is free.
How do you divide a hexagon into 3 parts to get 3 congruent quadrilaterals?
Assuming you have a regular hexagon, drawing a line between every other vertex and the center will give you three congruent quadrilaterals (that also happen to be parallelograms... in fact, they are rhombuses).
