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A polygon with all sides congruent is a what?
It's equilateral !!! A polygon with all sides congruent is equilateral.
What polygon has sides that are all the same length?
The polygon, as described in the question, is an equilateral polygon. If, in addition to this, all its angles have the same measure then the polygon is said to be regular. Polygons can be equilateral or equiangular or both (regular). The one exception is a triangle where equilateral implies (and is implied by) equiangular.
A polygon in which all sides are congruent?
equilateral polygon
What is a equilateral polygon?
In geometry, an equilateral polygon is a polygon which has all sides of the same length. For instance, an equilateral triangle is a triangle of equal edge lengths. All equilateral triangles are similar to each other, and have 60 degree internal angles. : Any equilateral quadrilateral is a rhombus, which includes the square. : An equilateral polygon which is cyclic (its vertices are on a circle) is a regular polygon. Not all equilateral polygons are convex: all equilateral polygons with more than four sides, such as the pentagon, can be concave. Viviani's theorem holds for equiangular polygons (and also holds for equilateral ones): : The sum of distances from a point to the side lines of an equiangular [or equilateral] polygon does not depend on the point and is that polygon's invariant.
A polygon with all sides congruent?
square * * * * * A square is an example, but is not the whole answer. A polygon wit all sides congruent is an equilateral polygon (think equilateral triangle, or a rhombus). If all the angles are also congruent, then it is a regular polygon.
A polygon with all sides congruent is a what?
It's equilateral !!! A polygon with all sides congruent is equilateral.
What polygon has sides that are all the same length?
The polygon, as described in the question, is an equilateral polygon. If, in addition to this, all its angles have the same measure then the polygon is said to be regular. Polygons can be equilateral or equiangular or both (regular). The one exception is a triangle where equilateral implies (and is implied by) equiangular.
What is an equilateral polygon?
a polygon with all equal sides
A polygon in which all sides are congruent?
equilateral polygon
What is a equilateral polygon?
In geometry, an equilateral polygon is a polygon which has all sides of the same length. For instance, an equilateral triangle is a triangle of equal edge lengths. All equilateral triangles are similar to each other, and have 60 degree internal angles. : Any equilateral quadrilateral is a rhombus, which includes the square. : An equilateral polygon which is cyclic (its vertices are on a circle) is a regular polygon. Not all equilateral polygons are convex: all equilateral polygons with more than four sides, such as the pentagon, can be concave. Viviani's theorem holds for equiangular polygons (and also holds for equilateral ones): : The sum of distances from a point to the side lines of an equiangular [or equilateral] polygon does not depend on the point and is that polygon's invariant.
A polygon with all sides congruent?
square * * * * * A square is an example, but is not the whole answer. A polygon wit all sides congruent is an equilateral polygon (think equilateral triangle, or a rhombus). If all the angles are also congruent, then it is a regular polygon.
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.
Why is an equilateral polygon not necessarily a regular polygon?
A regular polygon must be equiangular as well as equilateral. A rhombus is an example of a polygon that is equilateral but not equiangular.
What is Equilateral polygon?
It is a regular polygon having all sides of equal lengths
Is a square an equilateral polygon?
Yes, a square is an equilateral polygon
What is a polygon in which all sides and all angles are congruent?
It is a regular polygon
What is the difference between an equiangular polygon an equilateral polygon and a regular polygon?
An equiangular polygon is one in which all the angles are of the same measure. But the sides are not the same length. A simple example is a rectangle.An equilateral polygon is one in which all the sides are of the same length. But the angles are not of the same measure. A simple example is a rhombus (diamond).A regular polygon is one in which all the angles are of the same measure and the sides are of the same length. A simple example is a square.An equiangular triangle must be equilateral and conversely. So they must be regular. But, as illustrated by the examples above, polygons of 4 or more sides can be equiangular, equilateral or regular - or, of course, none of these.
