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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 an equal lateral polygon called?
An equilateral polygon is one that has all sides the same length and is called a regular 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.
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.
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.
What a polygon with all sides congruents?
An equilateral.
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.
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.
