A tetrahedron
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A geometric shape with 4 sides and 4 vertices is a 4-sided figure, a quadrilateral.
Where the 4-dimensional figures are analogous to their 3-dimensional counterparts, the 4-d name is usually obtained by using the prefix "hyper". This does not distinguish between a 4-d figure or one in higher dimensions but, if necessary, the name can include that information. For example, 4-dimensional hyper-cube.
A rectangle has 4 sides, which are also its edges. It has 4 vertices where the sides meet. In terms of faces, a rectangle is a 2-dimensional shape and therefore only has one face, which is the flat surface enclosed by the four sides.
A polyhedron is a 2 dimensional object. To have fasce it would have to be at least 3 dimensional. If you want to know what is a polyhedron with 4 sides, it's a quadrilateral THAT'S NOT QUITE RIGHT - actually it's completely false. Sorry, Ratty, a polyhedron is a 3 dimensional figure. Polygon refers to 2 dimensional figures. A pyramid with a triangular base is a polyhedron with 4 faces.
A plane figure (2-dimensional) of 6 sides. Remember from Latin the prefix of the word indicates the number of sides. 'Poly = Many Tri = 3 Tetra/Quad = 4 Penta = 5 Hexa = 6 Hepta = 7 Octa = 8 Nona = 9 Deca = 10 The suffix 'gon' indicates that it is a plane 2- dimensional figure.