Meaning

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

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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:

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Two equiangular octagons, one regular, one not:

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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.

Etymology

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).

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

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