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it can tessellate
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NO IT CANNOT!
A regular polygon can be used to create a regular tesselation if and only if its interior angle divides 360 degrees.
The interior angle of a regular pentagon is 108 degrees, which does not divide 360 degrees so it cannot be used for a regular tesselation.
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Three pentagons meeting at a point would cover 3*108 = 324 degrees - not enough to cover the 360 degrees at a point. Meanwhile 4 pentagons would cover 4*108 = 432 degrees - resulting in a 72 degree overlap.
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why cant a regular tessellation use only pentagons?
A regular tessellation is one that uses regular polygons. An interior angle of a regular pentagon measures 108 degrees. A full circle, 360 degrees, is not divisible by 108 degrees. Consequently, it is not possible to arrange a number of polygons so that they meet at a point without gap or overlap.
How do you draw 5 lines of symmetry on a pentagon?
no we cant make
How do you draw a pentagon with four right angles?
you cant because it would be a square
Why cant you use regular polygons as the faces of a platonic solid?
The faces of Platonic solids are regular polygons...
How do you determine if a polygon is a regular polygon?
it has to be made out of strait lines so no curves and it has to be closed last it has to be flat it cant be 3D
why cant a regular tessellation use only pentagons?
A regular tessellation is one that uses regular polygons. An interior angle of a regular pentagon measures 108 degrees. A full circle, 360 degrees, is not divisible by 108 degrees. Consequently, it is not possible to arrange a number of polygons so that they meet at a point without gap or overlap.
Why cant a regular heptagon be used to create a regular tessellation?
Each interior angle of a regular heptagon measures 900/7 degrees.The interior angles of all polygons meeting at a point must sum to 360 degrees. But that would require 360 / (900/7) = 2.8 - that is you would require 2.8 regular heptagons to meet at each vertex. Since it is not possible to have a fraction of a heptagon. the tessellation required by the question is impossible.
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How do you draw 5 lines of symmetry on a pentagon?
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