Meaning

The ax equiangular suggests that, in part figures, the angles room equal. It deserve to be provided to define polygons, such as an equiangular pentagon.

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The reality that the angles of a figure are congruent go not automatically mean that the sides are.

You are watching: Which of these figures is not always 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 case of triangles, gift equiangular requires that the triangle also be equilateral. The is, every equiangular triangle is a constant triangle. However, this is not the instance for all polygons. For example, a rectangle is equiangular — all 4 angles room 90° — but need not be square (need not have all four sides the same length). Thus, no all equiangular quadrilaterals are equilateral and also so room not every regular.

Etymology

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

Related mathematical terms

Equilateral, Regular, Rectangle


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This material is based upon job-related supported by the nationwide Science foundation under NSF provide No. DRL-1934161 (Think Math+C), NSF approve No. DRL-1741792 (Math+C), and also NSF grant 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 views of the nationwide Science Foundation.

See more: Solved Prove That D/Dx(Secx)=Secx Tanx, Solved Prove That D/Dx (Sec X)=Sec X Tan X


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