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There are many polygons that are both equiangular and equilateral. For example, squares and equilateral triangles are both equiangular and equilateral polygons. The general term for polygons that are both equiangular and equilateral is regular.
A rhombus if i remember my geometry its a rhombus A rhombus is NOT equiangular. A square is the only quadrilateral with equal sides and equal angles. An equilateral triangle is also equiangular. Polygons that are equilateral and equiangular are called regular.
A polygon so described is called a regular polygon. You'll find a link below.
The polygon, as described in the question, is an equilateral polygon. If, in addition to this, all its angles have the same measure then the polygon is said to be regular. Polygons can be equilateral or equiangular or both (regular). The one exception is a triangle where equilateral implies (and is implied by) equiangular.
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Equilateral and Equiangular triangle
There are many polygons that are both equiangular and equilateral. For example, squares and equilateral triangles are both equiangular and equilateral polygons. The general term for polygons that are both equiangular and equilateral is regular.
A rhombus if i remember my geometry its a rhombus A rhombus is NOT equiangular. A square is the only quadrilateral with equal sides and equal angles. An equilateral triangle is also equiangular. Polygons that are equilateral and equiangular are called regular.
A polygon so described is called a regular polygon. You'll find a link below.
The terms equiangular means a polygon having the same angle between any two adjacent sides. Equilateral means all sides of equal length. A polygon can be equilateral without being equiangular (the rhombus) and equiangular without being equilateral (the rectangle). If a polygon is both equilateral and equiangular, it is a "regular polygon" such as the pentagon, square, and equilateral triangle.
regular polygon!!! Crossword right?!?!? Mr.coe's class??
The polygon, as described in the question, is an equilateral polygon. If, in addition to this, all its angles have the same measure then the polygon is said to be regular. Polygons can be equilateral or equiangular or both (regular). The one exception is a triangle where equilateral implies (and is implied by) equiangular.
A polygon cannot be equilateral but not equiangular because in the definiton of a regular polygon which is a polygon that is both equiangular and equilateral you see that you cannot have one without the other. As long as a polygon is equilateral it is also equilangular and vice versa. ARBETTES: You cannot have both in all polygons. In all triangles this is true. If a triangle is equilateral then it is equiangular. However, let's take a known quadrilateral: Rhombus. The definition of a Rhombus is that it has all equal sides. That's it. It's oppsite angles have to be congruent, but they do not all have to be 90 degrees.
A regular polygon, e.g. an equilateral triangle, a square, a regular pentagon, etc.A regular polygon is both equiangular, and equilateral.
The definition of a regular polygons is a polygon that is both equiangular and equilateral. in a kite not all the sides are the same then its angles are not all equal then it is not a regular polygon.
A rectangle is not always equilateral, although it is always equiangular. A rhombus is not always equiangular, but is always equilateral. A square is both equilateral and equiangular.