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What is a polyhedron called if all faces are congruent regular polygons and all faces meet at each vertex in exactly the same way?
that is called if I'm not mistaken a platonic solid. there are only five of them in the
third dimension:
quadrahedron - 4 triangles, 4 vertices (my personal favorite)
cube - 6 squares, 8 vertices
octahedron - 8 triangles, 6 vertices
dodecahedron - 12 pentagons, 20 vertices
icosahedron - 20 triangles, 12 vertices
if you would like to know what they look like Google it
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What do you call a polyhedron with faces that are all congruent regular polygons?
Its a platonic solid :)
What are convex polygons with congruent sides and congruent angles?
Convex polygons with congruent sides and congruent angles are called regular polygons.
What are regular polygons?
Regular polygons are those polygons that are bothequilateral (all sides congruent) and equilateral (all interior angles congruent).
Do all polygons have congruent angles?
No only regular polygons have congruent angles.
What has congruent sides and congruent angles?
Regular polygons have congruent sides and angles
What do you call a polyhedron with faces that are all congruent regular polygons?
Its a platonic solid :)
Is a sphere a polyhedron?
No, a sphere is not a polyhedron.A polyhedron is a three-dimensional geometric figure whose sides are polygons.A regular polyhedron is a polyhedron whose faces are all congruent regular polygons.
What is a polyhedron that has two congruent faces?
Any regular polygon has two congruent faces. Many polygons have two or more congruent faces.
What are convex polygons with congruent sides and congruent angles?
Convex polygons with congruent sides and congruent angles are called regular polygons.
What are regular polygons?
Regular polygons are those polygons that are bothequilateral (all sides congruent) and equilateral (all interior angles congruent).
Do all polygons have congruent angles?
No only regular polygons have congruent angles.
Is a truncated isocahedron a regular polyhedron?
No. It is a semi-regular polyhedron. Explanation. The truncated icosahedron is a polyhedron that can be constructed from an icosahedron with the 12 vertices truncated (cut off) such that one third of each edge is cut off at each of both ends. This creates 12 new pentagon faces, and leaves the original 20 triangle faces as regular hexagons A regular polyhedron is a polyhedron whose faces are congruent regular polygons. The truncated icosahedron is NOT a regular polyhedron, it is a semiregular polyhedron. It is a uniform polyhedron.
What are angles segments triangles etc that have exactly the same measures?
They are said to be regular polygons such as equilateral triangles, squares and other polygons that have congruent sides and equal congruent interior angles.
What has congruent sides and congruent angles?
Regular polygons have congruent sides and angles
What is the definition of a platonic solid?
From Wikipedia:A Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex. Moreover, all its edges are congruent, as are its vertices and angles.
What do you call the polygons with congruent sides?
Regular Polygons. eg - Square is a regular figure, but a trapezium is not.
What polygons always have congruent diagonals?
Regular polygons. A square and rectangle will have congruent (equal length) diagonals.
