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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.

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12y ago
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15y ago

Yes, for example, a rectangle. It has four 90 degree angles, but it has two different side lengths.

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Q: Can a polygon be equilateral but not Equiangular?
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A regular polygon must be equiangular as well as equilateral. A rhombus is an example of a polygon that is equilateral but not equiangular.


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