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square and octagon
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You cannot tessellate five-sided regular polygons by themselves?
Mostly true - you cannot tessellate only regular pentagons in two dimensions, since you cannot sum up the intersection of the angles to 360 degrees. If you tessellate a regular pentagon in three dimensions, you end up with a dodecahedron.
What are two regular polygons?
two polygons with sides that have all equal sides and angles
Must the corresponding angles of two similar regular polygons be equal?
All angle of two similar regular polygons must be equal.
Can a regular pentagon and two regular hexagons meet at a vertex of a tessellation?
No. The interior angle of a regular pentagon is 108 degrees, the interior angle of a regular hexagon is 120 degrees. So, at the vertex, the three polygons will have angles adding up to 108+120+120 = 348 degrees. To tessellate, or cover the surface, they must add to 360 degrees.
What would a semi regular tessellation have?
It is a tessellation which uses two regular polygons. For example, octagons and squares.
What does semi regular tessellation have?
It has two regular polygons which can be used together to tessellate a plane.
You cannot tessellate five-sided regular polygons by themselves?
Mostly true - you cannot tessellate only regular pentagons in two dimensions, since you cannot sum up the intersection of the angles to 360 degrees. If you tessellate a regular pentagon in three dimensions, you end up with a dodecahedron.
What shape has two bases that are regular polygons?
It is simply a shape which has two bases which are regular polygons. There is no special name for such shapes.
What are two regular polygons?
two polygons with sides that have all equal sides and angles
Are any two regular polygons with the same number of sides similar?
Yes, regular polygons will have all sides equal length, and all angles the same. If two polygons of the same number of sides are 'regular' then those two polygons will be similar (they may be scaled, for example).
Must the corresponding angles of two similar regular polygons be equal?
All angle of two similar regular polygons must be equal.
Are two regular polygons always similar?
no.
The corresponding sides of two similar regular polygons must have equal lenghts?
Yes, the corresponding sides of two similar regular polygons must have equal lengths. This is because both the polygons are similar, which means that since they are also polygons, they must have equal lengths.
Can a regular pentagon and two regular hexagons meet at a vertex of a tessellation?
No. The interior angle of a regular pentagon is 108 degrees, the interior angle of a regular hexagon is 120 degrees. So, at the vertex, the three polygons will have angles adding up to 108+120+120 = 348 degrees. To tessellate, or cover the surface, they must add to 360 degrees.
What two parts of a regular polygon are congruent?
polygons our stuff I do not know
Do the corresponding angles of two similar regular polygons have to be equal?
Yes
What two parts of regular polygon are congruent?
polygons our stuff I do not know
