An equilateral triangle and a square.
An equilangular polygon is a polygon who's angles are equal.
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A regular polygon
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 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.
Equilateral and Equiangular triangle
Not normally
All regular polygons.
A polygon can be equilateral but not always equiangular. Some examples of this are rhomboids and other polygons like pentagons and hexagons.
An equilangular polygon is a polygon who's angles are equal.
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A regular polygon
An irregular polygon need not be equiangular.
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 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.
regular polygon!!! Crossword right?!?!? Mr.coe's class??
A regular polygon must be equiangular as well as equilateral. A rhombus is an example of a polygon that is equilateral but not equiangular.