# Do all Equiangular polygons equilateral?

Table of Contents

## Do all Equiangular polygons equilateral?

That is, every equiangular triangle is a regular triangle. For example, a rectangle is equiangular — all four angles are 90° — but need not be square (need not have all four sides the same length). Thus, not all equiangular quadrilaterals are equilateral and so are not all regular.

## Can a shape be Equiangular but not equilateral?

A quadrilateral can be equiangular but not equilateral (a rectangle) or equilateral but not equiangular (a rhombus). All sides of a square are the same length (equilateral) and all its angles have the same measure (equiangular).

## Which of the following is an equiangular but not equilateral polygon?

rhombus

## Is Equiangular also equilateral?

An equiangular triangle has three equal sides, and it is the same as an equilateral triangle.

## Can a regular polygon be Equiangular?

An equiangular polygon can be constructed from a regular polygon or regular star polygon where edges are extended as infinite lines. Each edges can be independently moved perpendicular to the line’s direction.

## What is the difference between a regular polygon and an equilateral polygon?

Explanation: An equiangular polygon is a polygon in which all angles are equal. An equilateral polygon is a polygon with equal sides. If both sides and angles are equal then the polygon is called regular.

## Which polygon is always regular?

A square is a polygon that is always regular. By definition, a square has four equal sides, so it is equilateral.

## Are all Rhombi regular polygons?

A regular polygon must be both equiangular (all angle measures are the same) and equilateral (all side lengths are the same). A rhombus meets one of the requirements: it is equilateral. But, all of a rhombus’s angles are not the same. It is not equiangular, so it is not a regular polygon.

## Why is rhombus not a regular polygon?

A rhombus is an irregular polygon because although it does have 4 sides of equal length, it does not have equally sized angles.