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Shapes tessellate to fit around an interior angle. They also tessellate because they are regular polygons; non-regular polygons cannot tessellate.
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Not correct.
All triangles and quadrilaterals will tessellate, whether regular or irregular. Contrary to the above answer, a regular pentagon will not tessellate but there are 14 different irregular pentagons which will tessellate (the last was discovered in 2015). Three convex hexagons will do so as well.
No polygon of 7 or more sides will tessellate - whether they are regular (contrary to the above answer) or irregular.
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Do all shapes tessellate?
No not all shapes tessellate.
Which polygons tessellate with other shapes?
For any polygon, there will be other shapes such that, together, they can tessellate.
What shapes don't tessellate?
I believe that regular shapes will only tessellate if the sum of their internal angles is a multiple of 180.
Does a dodecagon tessellate?
Yes it does tessellate. * * * * * That is simply not true. No polygon with 7 or more sides will tessellate with identical shapes.
Will a trapezium and a triangle tessellate together?
If their shapes are suitably matched they can tessellate together.
