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Q: What is a polygon that has has two pairs of equal angles and two pairs of parallel lines called?

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

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

a "regular" polygon

All of the angles are equal in a "regular" polygon. (All of the sides are too.)

A parallelogram is a four sided polygon with opposing parallel sides of equal length. Then if it has four right angles, the polygon becomes a rectangle.

If all of its interior angles are equal then it is a regular polygon

An isosceles trapezoid has a pair of parallel sides and a pair of equal base angles

There is no special name for that. However, if the sides are also equal, it is called a regular polygon.

It is then called a regular polygon when all angles and sides are of equal values.

Regular

A square

A four-sided polygon with all sides parallel and congruent is a rhombus. If all the angles are equal, it is a special case of a rhombus called a square.

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