heptagon
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A shape with ten sides and seven vertex is impossible. There must always be the same amount of sides as vertex in a shape.
A seven sided shape (with seven angles) is called a heptagon.
A shape with 12 sides is called a dodecagon.
A shape with four sides is called a quadrilateral.
The answer to the question 'What is a shape with six sides called' would be a hexagon.