Yes.
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Two equilateral triangles or one rhombus.
Yes a rhombus has 4 equal sides but does not have 4 equal angles
Equilateral triangle or square or rhombus or regular polygon.. All depends how many sides! * * * * * Not quite. A regular polygon also requires all angles to be the same. Once you have a polygon with more than 3 sides, they can be equilateral without being equiangular (cf square and rhombus in the above answer).
The terms equiangular means a polygon having the same angle between any two adjacent sides. Equilateral means all sides of equal length. A polygon can be equilateral without being equiangular (the rhombus) and equiangular without being equilateral (the rectangle). If a polygon is both equilateral and equiangular, it is a "regular polygon" such as the pentagon, square, and equilateral triangle.
A regular polygon is any polygon that has sides which are the same length and angles whose measures are equal. An equilateral triangle (also equiangular triangle) is a regular polygon. Other isosceles triangles (equilateral triangles are isosceles, but they are an exception) and scalene triangles are not regular polygons. A side note: Only in a triangle is a polygon regular solely if it is equilateral. (Since an equilateral triangle is equiangular as well). This is NOT always true in other polygons, like quadrilaterals, where it can be equilateral but not necessarily equiangular (a rhombus) or equiangular but not equilateral (a rectangle).