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.

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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:

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Two equiangular octagons, one regular, one not:

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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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This material is based upon job-related supported by the national Science foundation under NSF give No. DRL-1934161 (Think Math+C), NSF grant No. DRL-1741792 (Math+C), and NSF approve No. ESI-0099093 (Think Math).

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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