The hatchet equiangular suggests that, in part figures, the angles room equal. It can be used to define polygons, such together an equiangular pentagon.


The reality that the angles that a figure are congruent walk not immediately mean that the sides are.

You are watching: An equiangular hexagon that is not equilateral

An equiangular (but no regular) hexagon:


Two equiangular octagons, one regular, one not:


If a quadrilateral is equiangular, that is a rectangle.

Mathematical background

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


The prefix equi- is from Latin and means ‘equal’.

Related mathematics terms

Equilateral, Regular, Rectangle

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

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