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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

Q: What is a polyhedron called if all faces are congruent regular polygons and all faces meet at each vertex in exactly the same way?

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Its a platonic solid :)

Convex polygons with congruent sides and congruent angles are called regular polygons.

Regular polygons are those polygons that are bothequilateral (all sides congruent) and equilateral (all interior angles congruent).

No only regular polygons have congruent angles.

Regular polygons have congruent sides and angles

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Its a platonic solid :)

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.

Any regular polygon has two congruent faces. Many polygons have two or more congruent faces.

Convex polygons with congruent sides and congruent angles are called regular polygons.

Regular polygons are those polygons that are bothequilateral (all sides congruent) and equilateral (all interior angles congruent).

No only regular polygons have congruent angles.

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.

They are said to be regular polygons such as equilateral triangles, squares and other polygons that have congruent sides and equal congruent interior angles.

Regular polygons have congruent sides and angles

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.

Regular Polygons. eg - Square is a regular figure, but a trapezium is not.

Regular polygons. A square and rectangle will have congruent (equal length) diagonals.