parallelograms
A regular polygon
A regular polygon has all sides equal length, and all of the angles are equal.
An infinite number. A polygon with any number of sides can be equilateral (ie have sides of equal length).
No. Parallelograms have only 4 sides with 2 sets of parallel sides: they include squares, rectangles, and rhombuses (rhombi, diamond shapes). Because opposite angles are equal, each pair of parallel sides is equal in length. (For squares and "equilateral rhombi" all four sides are equal in length.)
All geometrically regular shapes (i.e. those with sides of equal length) have equal interior angeles.
There are infinitely many 2d shapes. They can have 1 side (a circle or ellipse) to infinitely many. They can have sides that are straight or not, the sides can be equal or unequal in length, the angles can be equal or unequal, etc.
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No, octagons just have to be closed shapes with eight sides - the sides do not have to be of equal length.
Square.
A regular polygon has all sides equal length, and all of the angles are equal.
They are shapes whose exterior sides are all equal in length.
Both shapes have 4 sides, two pairs equal in length. In a parallelogram the equal length sides are opposite each other. In a kite the equal length sides are adjacent.
An infinite number. A polygon with any number of sides can be equilateral (ie have sides of equal length).
In both shapes, all four sides are of equal length.
No. Parallelograms have only 4 sides with 2 sets of parallel sides: they include squares, rectangles, and rhombuses (rhombi, diamond shapes). Because opposite angles are equal, each pair of parallel sides is equal in length. (For squares and "equilateral rhombi" all four sides are equal in length.)
All geometrically regular shapes (i.e. those with sides of equal length) have equal interior angeles.
There are infinitely many 2d shapes. They can have 1 side (a circle or ellipse) to infinitely many. They can have sides that are straight or not, the sides can be equal or unequal in length, the angles can be equal or unequal, etc.