When a polygon is both equilateral and equiangular, it is called a regular polygon. A square is an example of a regular polygon.
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Which of the following is an equiangular and equilateral …
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What is a equiangular polygon called?
In Euclidean geometry, an equiangular polygon is a polygon whose vertex angles are equal. If the lengths of the sides are also equal (that is, if it is also equilateral) then it is a regular polygon. Isogonal polygons are equiangular polygons which alternate two edge lengths.
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What is the example of equilateral and equiangular?
For example, equilateral triangles have all congruent sides – that’s the definition of equilateral . All their angles are the same also, which makes them equiangular . For triangles, it turns out that being equilateral and equiangular always go together.
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Are all polygons equilateral and equiangular?
A polygon may be equiangular without necessarily being equilateral. For example, a rectangle has four equal or congruent angles, but the length and width are different.
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Is rhombus both equilateral and equiangular?
A rhombus has all sides which are always equal to each other but the interior angles of a rhombus are not equal. The opposite angles are equal to each other but the adjacent angles are not equal to each other. Thus, a rhombus is equilateral but not equiangular.
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What is a polygon equiangular and equilateral called?
When a polygon is both equilateral and equiangular, it is called a regular polygon. A square is an example of a regular polygon.
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What is a equilateral polygon called?
Equilateral and Equiangular Four-Sided Polygons (quadrilaterals) Equilateral quadrilaterals (or four-sided polygons) all have four equal sides, regardless of the angles between the sides. Also called a rhombus, these figures are either a square, in which case all four angles also are equal, or a non-square rhombus.
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Is equilateral polygon equiangular?
In geometry, an equilateral polygon is a polygon which has all sides of the same length. Except in the triangle case, an equilateral polygon does not need to also be equiangular (have all angles equal), but if it does then it is a regular polygon.
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Is a square equiangular polygon?
Squares are equiangular and equilateral polygons as it has all the sides and angles equal.
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Can polygon be equiangular and not equilateral?
A polygon may be equiangular without necessarily being equilateral. For example, a rectangle has four equal or congruent angles, but the length and width are different.
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Is regular polygon equiangular and equilateral True or false?
Answer and Explanation: In a regular polygon, all angles and sides are of equal measure. Equilateral means all sides are equal and equiangular means all angles are equal. So the given statement is false.
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Is rhombus always equiangular?
A rhombus is equilateral: all of its sides are of the same length. But it is never equiangular. A rhombus by definition has two opposite sets of equal angles. It can never, therefore, be equiangular.
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What shape is both equilateral and equiangular?
When a polygon is both equilateral and equiangular, it is called a regular polygon. A square is an example of a regular polygon.
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Which quadrilateral is both equilateral and equiangular?
A square, however, is both. All sides of a square are the same length (equilateral) and all its angles have the same measure (equiangular). This makes the square the only equilateral and equiangular quadrilateral.
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What shape is equilateral but not equiangular?
(B) A rectangle is equilateral but not equiangular.
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What is an example of equiangular?
For example, a rectangle is equiangular — all four angles are 90° — but need not be square (need not have all four sides the same length). Thus, not all equiangular quadrilaterals are equilateral and so are not all regular.
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What is both equilateral and equiangular?
Hence, square is an equiangular and equilateral polygon.
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What shapes are equiangular and equilateral?
Equiangular triangle is a triangle in which angles are congruent and all sides are of equal length. It is often called an equilateral triangle. It is a regular polygon with three equal sides and the angles of the same measure.
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