Q:
# How many vertices does a dodecahedron have?

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### Quick Answer

**A dodecahedron is a 12-sided, three-dimensional figure with 20 vertices, 30 edges, 120 diagonals and five sides per face.** Each vertex is the meeting point of three edges, and each face is the shape of a regular pentagon.

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A dodecahedron is one of the five Platonic solids, which are regular polyhedrons with congruent faces that have contain regular polygons and feature the same number of faces meeting at each vertex. These five solids include a tetrahedron, cube, octahedron, dodecahedron and icosahedron. A tetrahedron has four faces, a cube has six faces, an octahedron contains eight faces, and an icosahedron has 20 faces. The Platonic solids are named for the Greek philosopher Plato.

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Q:
## What is 45 degrees in radians?

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Full Answer >**There are roughly 0.785 radians in 45 degrees, which is the approximation of pi divided by four.**It is only an approximation because pi is an irrational number that does not terminate.Filed Under: -
Q:
## Why does 0 factorial equal 1?

A:The factorial of the number 0 is defined as 1 because there is only one possible permutation for a set of zero elements, namely the empty set. The combinatorial interpretation of the factorial function is the total number of possible permutations of a set of n elements.

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Q:
## What is the definition of "translation" in geometry?

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Full Answer >**A geometrical translation moves or slides a shape a fixed distance without rotating it, resizing it or performing any other sort of transformation to it.**Translations move every point within the shape the same distance and preserve the geometrical properties of the original shape.Filed Under: -
Q:
## What is a line of symmetry?

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Full Answer >**In geometry, a line of symmetry is a line that divides a shape into two halves that match exactly, as if reflected in a mirror.**Line symmetry is sometimes called reflective symmetry because each point on one side of the line is reflected by a corresponding point on the other.Filed Under: