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It is known as a regular polygon

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Equilateral.

Q: What is the mathematical name for a shape that has equal sides?

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The name of the shape is a quadrilateral.

It is usually a regular polygon that has equal sides.

Square. By definition, its sides must all be equal.

a regular pentagon

It is either a square or an equilateral triangle.

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The name of the shape is a quadrilateral.

It is usually a regular polygon that has equal sides.

Square. By definition, its sides must all be equal.

irregular

Pentagon

Square

There is no specific name for such a quadrilateral.

an equilateral triangle.

In a 3D world with 6 sides it is a cube.

It is a quadrilateral with no special name.

a regular pentagon

nonagon true but is there anymore shapes that have 9 sides?