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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.
