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What shape can be a 7 sided polygon?
All seven sided polygons are known as "heptagons". Heptagons that have all side lengths the same are known as "regular heptagons".
Does a regular heptagon tessellate?
No. Regular heptagons (seven sides) doesn't tessellate alone.
What makes two regular heptagons congruent?
They are only congruent if they are also the same size. Otherwise they are merely similar.
Can heptagon tessellate?
No. Equilateral heptagons (7 sided figures) do not tessellate the plane. Not if no other polygons are allowed. But if you allow a (non-equilateral) pentagon then you might be able to tessellate the plane!
Do all heptagons have six vertices?
no
Do heptagons have congruent sides?
They can if they are regular.
Can a heptagon tile with others?
Not regular heptagons.
What are the conditions that must be met for two regular heptagons to be congruent?
For two 7 sided regular heptagons to be congruent they must be identical in shape and size.
What shape can be a 7 sided polygon?
All seven sided polygons are known as "heptagons". Heptagons that have all side lengths the same are known as "regular heptagons".
Does a regular heptagon tessellate?
No. Regular heptagons (seven sides) doesn't tessellate alone.
What conditions must be met for two regular heptagons to be congreuent?
Perimeters must be the same
What conditions must be met for two regular heptagons to be congruent?
They have all epual sides
What makes two regular heptagons congruent?
They are only congruent if they are also the same size. Otherwise they are merely similar.
Can heptagon tessellate?
No. Equilateral heptagons (7 sided figures) do not tessellate the plane. Not if no other polygons are allowed. But if you allow a (non-equilateral) pentagon then you might be able to tessellate the plane!
Can regular heptagons and equalateral triangle tile a flat surface?
Equilateral triangles can tile a plane, but regular heptagons cannot; nor can they tile the plan together. Where vertices meet (at a point on the plane) there is a complete turn of 360°. Each vertex of an equilateral triangle is 60°; 360° ÷ 60° = 6, a whole number of times, so a whole number of equilateral triangles can meet at a vertex of the tiling. Each vertex of a regular heptagon is 128 4/7°; 360° ÷ 128 4/7° = 2 4/5 which is not a whole number, so a whole number of regular heptagons cannot meet at a vertex of the tiling, so there will be gaps. With one regular heptagon there are 360° - 128 4/7° = 232 3/7°, but this cannot be divided by 60° a whole number of times, so one regular heptagon and some equilateral triangles cannot meet at a vertex of the tiling without gaps. With two regular heptagons there are 360° - 2 x 128 4/7° = 102 6/7°, but this cannot be divided by 60° a whole number of times, so two regular heptagons and some equilateral triangles cannot meet at a vertex of the tiling without gaps. With three or more regular heptagons, they will overlap when trying to place them on a plane around a point - leaving no space for any equilateral triangles.
Why its not possible to build a polyhedron made of regular heptagons?
Because - the angles formed where each face joined, would prevent you forming a polyhedron.
Example of heptagon?
A heptagon is a polygon that has seven sides and can be regular or irregular in shape. Examples of heptagons include coins, pill boxes, cookie tin lids and architecture.
