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What is the only type of polygon that must be regular if it is equiangular?
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∙ 10y ago
Rectangle
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∙ 10y ago
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Is a star shape an irregular polygon?
Not all are. Not only is it a concave shape, but the interior angles can vary. For a polygon to be regular, it must be equilateral and equiangular.
What is a Polygon that is both equiangular and equilateral?
A rhombus if i remember my geometry its a rhombus A rhombus is NOT equiangular. A square is the only quadrilateral with equal sides and equal angles. An equilateral triangle is also equiangular. Polygons that are equilateral and equiangular are called regular.
What is an example of an equilateral polygon?
An equilateral polygon is one in which all sides are congruent. The angles may or may not be congruent. The simplest example is an equilateral triangle which must also be equiangular and so is a regular polygon. A rhombus is an equilateral quadrangle. The rhombus, in general, is not regular - only the square (a special type of rhombus) is regular.
What is a polygon with equal sides and angles is a what polygon?
it seems to me that the only polygon of your description is a square
Is a diamond shape square a regular polygon?
In general, a diamond shape is neither a square nor a regular polygon. Only in an extreme form is it a square and therefore a regular polygon.
Is a star shape an irregular polygon?
Not all are. Not only is it a concave shape, but the interior angles can vary. For a polygon to be regular, it must be equilateral and equiangular.
Is a triangle a small regular polygon?
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).
Polygon with all sides congruent?
It is an equilateral polygon. However, it is NOT a regular polygon. For that to be the case, it would also have to be equiangular: that is, all its angles must also be congruent. It is only in the case of triangles that being equilateral implies equiangularity and therefore regularity.
What is a Polygon that is both equiangular and equilateral?
A rhombus if i remember my geometry its a rhombus A rhombus is NOT equiangular. A square is the only quadrilateral with equal sides and equal angles. An equilateral triangle is also equiangular. Polygons that are equilateral and equiangular are called regular.
What is an example of an equilateral polygon?
An equilateral polygon is one in which all sides are congruent. The angles may or may not be congruent. The simplest example is an equilateral triangle which must also be equiangular and so is a regular polygon. A rhombus is an equilateral quadrangle. The rhombus, in general, is not regular - only the square (a special type of rhombus) is regular.
Can a regular polygon have equal sides and equal angles?
Not only can a regular polygon have equal angles and sides, it must have them.
Define equilateral and equiangular polygon?
An equilateral polygon is a polygon whose sides are all of the same measure. An equiangular polygon is a polygon whose angles are all of the same measure. A triangle is the only polygon where these two are effectively one and the same.. But it does not apply to polygons of 4 or more sides. A square and rhombus are equilateral but a rhombus is not equiangular. A square and rectangle are equiangular but a rectangle is not equilateral. This can be extended to all polygons with more than 4 sides but it is more difficult because they do not have distinctive names.
What is the difference between equilateral polygon and a regular polygon?
A polygon is an enclosed plane area whose boundaries comprise straight lines. An equilateral polygon is one in which all the sides are of the same length. However, unless it is a triangle, equal sides does not imply equal angles. If, in addition to being equilateral, the polygon is equiangular - that is all its angles are the same - then it is a regular polygon.For example, a rhombus (diamond) is equilateral but the only regular quadrilateral is a square.
If a polygon has equal sides does it have equal angles?
The answer is no. It is true of triangles, but not necessarily of other polygons. A good counterexample is the Rhombus. You can define a Rhombus as a quadrilateral with 4 congruent ( equal) sides. However, only the opposite angles are equiangular, not all 4 angles. Picture, if you will, a very elongated Rhombus to easily see this. The only equiangular Rhombus is the Square. Many regular polygons are equiangular but not all.
Tessellations that use more than one type of regular polygon are called regular tessellations?
No. Regular tessellations use only one polygon. And, according to the strict definition of regular tessellation, the polygon must be regular. Then a tessellation using rectangles, for example, cannot be called regular.
What is a polygon with equal sides and angles is a what polygon?
it seems to me that the only polygon of your description is a square
Do hexagons have 6 equal angles?
Only equiangular and regular hexagons have six equal angles. Hexagons do not have to have six equal angles, and the only way a hexagon can have six equal angles if it is equiangular or regular.
