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it seems to me that the only polygon of your description is a square

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Regular polygon.

A regular polygon.

Q: What is a polygon with equal sides and angles is a what polygon?

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A regular polygon has equal sides in length and angles.

A polygon whose sides are not equal is known as an irregular polygon. A regular polygon has equal sides and angles.

No. A regular polygon has equal length sides and all the angles are equal. A rhombus has equal length sides, but only the opposite angles are equal. Since all the angles are not equal, the rhombus is not a regular polygon and is known as an irregular polygon.

Any irregular polygon does not have equal sides and equal interior angles

This is a tautological question that does not have a proper answer. A regular polygon is one which has all its sides of equal length and all its interior angles of equal measure.

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A regular polygon has equal angles AND sides.

Not only can a regular polygon have equal angles and sides, it must have them.

A polygon with sides of equal length and equal angles is termed a regular polygon.

A polygon with four equal angles and sides is a square.

A regular polygon has equal sides in length and angles.

A regular polygon

A REGULAR Polygon.

A Regular Polygon.

A polygon with 6 equal sides and angles is called a hexagon.

A polygon has 3 or more sides and is called regular when all sides and angles are equal and it is irregular when its sides and angles are not equal.

That would be a square. a square polygon does.

Polygons have an equal number of sides and angles.