Can a polygon be equilateral but not Equiangular?

Answer 1

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.

Answer 2

Oh, dude, totally! So, like, picture this: you've got a shape with all sides being equal lengths, but the angles are all wonky and different sizes. That's what we call an equilateral but not equiangular polygon. It's like having a group of friends where everyone has the same height, but their personalities are all over the place.

Answer 3

Well, honey, let me break it down for you. Yes, a polygon can be equilateral without being equiangular. Think of a rectangle - all sides are equal in length, but those angles are definitely not playing on the same team. So, there you have it, a little geometry lesson with a side of attitude.

Answer 4

Yes, a polygon can be equilateral but not equiangular. An equilateral polygon is a polygon in which all sides are of equal length, while an equiangular polygon is a polygon in which all angles are equal. For example, a square is both equilateral and equiangular, but a rhombus is equilateral (all sides are equal) but not equiangular (angles are not all equal).

Answer 5

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