Icosahedron
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An Icosahedron.
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Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.
There are five regular polyhedra, also known as the Platonic solids. They are three-dimensional shapes where all of the faces are made up of the same regular polygon.They are:Tetrahedron with four faces (this one is like a pyramid, but with an equilateral triangle for the base and all of the faces)Cube with six faces (all squares)Octahedron with eight faces (all equilateral triangles)Dodecahedron with 12 faces (all regular pentagons)Icosahedron with 20 faces (all equilateral triangles)A square pyramid (like the Egyptian pyramids) is not a regular polyhedron, because it has two different types of regular polygons for faces.
Well, honey, you're gonna need 20 short isosceles triangles to build that fabulous Icosahedron. Each face of the Icosahedron is made up of an isosceles triangle, and there are 20 faces in total. So, do the math and get building, darling!