The term equiangular suggests that, in part figures, the angles space equal. It can be offered to define polygons, such together an equiangular pentagon.


The truth that the angles that a number are congruent does not immediately mean that the sides are.

You are watching: Equiangular hexagon that is not regular

An equiangular (but not regular) hexagon:


Two equiangular octagons, one regular, one not:


If a quadrilateral is equiangular, that is a rectangle.

Mathematical background

In the case of triangles, being equiangular requires that the triangle additionally be equilateral. The is, every equiangular triangle is a regular triangle. However, this is not the situation for all polygons. For example, a rectangle is equiangular — all four angles room 90° — yet need no be square (need not have all 4 sides the exact same length). Thus, not all equiangular quadrilaterals space equilateral and also so space not every regular.


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

Related mathematics terms

Equilateral, Regular, Rectangle

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This material is based upon work-related supported through the nationwide Science structure under NSF give No. DRL-1934161 (Think Math+C), NSF give No. DRL-1741792 (Math+C), and NSF approve No. ESI-0099093 (Think Math).

Any opinions, findings, and conclusions or referrals expressed in this material are those of the author(s) and do not necessarily reflect the see of the nationwide Science Foundation.

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