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Is it true that a regular polygon is always equiangular and equilateral?
Yes, by definition. If it not equilateral AND equiangular, then it is not regular.
What is the difference between an equiangular polygon and a regular polygon?
The term regular polygon is almost always used to refer to a polygon that has equal interior angles and equal side lengths. In that light, the equiangular polygon and a regular polygon are the same thing.
What is a polygon that is both equilaterial and equiangular?
It is a regular polygon
What is an equiangular polygon that is not a regular polygon?
A rectangle, for example.
Is every regular polygon equiangular?
Yes, every regular polygon is equiangular. By definition, a regular polygon has all its sides of equal length and all its interior angles of equal measure. Therefore, not only are the sides equal, but the angles are also congruent, making the polygon equiangular. Conversely, an equiangular polygon does not have to be regular, as it may have sides of different lengths.
Are regular polygons always equiangular?
A regular polygon is always equiangular.
Is it true that a regular polygon is always equiangular and equilateral?
Yes, by definition. If it not equilateral AND equiangular, then it is not regular.
What is the difference between an equiangular polygon and a regular polygon?
The term regular polygon is almost always used to refer to a polygon that has equal interior angles and equal side lengths. In that light, the equiangular polygon and a regular polygon are the same thing.
What figure is not always equiangular a rhombus?
No figure other than a regular polygon is ever equiangular.
Why is an equilateral polygon not necessarily a regular polygon?
A regular polygon must be equiangular as well as equilateral. A rhombus is an example of a polygon that is equilateral but not equiangular.
Polygon that is equiangular and equilateral?
regular polygon ^____^
What is a polygon that is both equilaterial and equiangular?
It is a regular polygon
What is an equiangular polygon that is not a regular polygon?
A rectangle, for example.
What polygon is an equiangular polygon?
All regular polygons are equiangular because their side lengths are equal.
Is every regular polygon equiangular?
Yes, every regular polygon is equiangular. By definition, a regular polygon has all its sides of equal length and all its interior angles of equal measure. Therefore, not only are the sides equal, but the angles are also congruent, making the polygon equiangular. Conversely, an equiangular polygon does not have to be regular, as it may have sides of different lengths.
A regular polygon is equiangular?
Yes
Is a triangle a small regular polygon?
A regular polygon is any polygon that has sides which are the same length and angles whose measures are equal. An equilateral triangle (also equiangular triangle) is a regular polygon. Other isosceles triangles (equilateral triangles are isosceles, but they are an exception) and scalene triangles are not regular polygons. A side note: Only in a triangle is a polygon regular solely if it is equilateral. (Since an equilateral triangle is equiangular as well). This is NOT always true in other polygons, like quadrilaterals, where it can be equilateral but not necessarily equiangular (a rhombus) or equiangular but not equilateral (a rectangle).
