## Meaning

The term *equiangular* shows that, in some figures, the angles space equal. It deserve to be offered to describe polygons, such as an equiangular pentagon.

The fact that the *angles* the a figure are congruent walk not automatically mean that the *sides* are.

You are watching: The octagon in the figure is equiangular and

An equiangular (but no regular) hexagon:

Two equiangular octagons, one regular, one not:

If a square is equiangular, the is a rectangle.

## Mathematical background

In the situation of triangles, being equiangular *requires* the the triangle also be equilateral. The is, every equiangular triangle is a continual triangle. However, this is not the situation for all polygons. Because that example, a rectangle is equiangular — all 4 angles space 90° — however need not be square (need not have all 4 sides the exact same length). Thus, not all equiangular quadrilaterals room equilateral and also so room not every regular.

## Etymology

The prefix **equi-** is indigenous Latin and method ‘equal’.

## Related mathematics terms

Equilateral, Regular, Rectangle

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Any opinions, findings, and conclusions or references expressed in this material are those that the author(s) and also do no necessarily reflect the see of the nationwide Science Foundation.

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