## 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.

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:

Two equiangular octagons, one regular, one not:

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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