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1-7 Three-Dimensional Figures What is a polyhedron? How are polyhedrons classified? What are Platonic solids?
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You identified and named two-dimensional figures. Identify and name three-dimensional figures.
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Definitions A polyhedron is a solid with all flat surfaces that enclose a single region of space. A face is each flat surface of the polygon Faces are named in the same way as polygons. Edges are the line segments where the faces intersect. A vertex is the point where three or more edges meet. Polyhedrons or polyhedra are named by the shape of their bases and type of solid.
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p. 67
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Prisms and pyramids are Polyhedrons. Cylinders, cones and spheres are not.
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Bases TTTThe bases of the figure are the two parallel congruent faces of the three dimensional figure. BBBBEWARE!! TTTThe figure may not be sitting on its base
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Naming polyhedrons Polyhedrons are named by the shape of their bases.
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Identify Solids Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices. The solid is formed by polygonal faces, so it is a polyhedron. The bases are rectangles. This solid is a rectangular prism. Answer: rectangular prism Bases:rectangles EFHG, ABDC Faces:rectangles FBDH, EACG, GCDH,EFBA, EFHG, ABDC Vertices:A, B, C, D, E, F, G, H
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Identify Solids Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices. The solid has a curved surface, so it is not a polyhedron. The base is a circle and there is one vertex. So, it is a cone. Answer: Base: circle T Vertex: W no faces or edges
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Identify the solid A.triangular prism B.triangular pyramid C.rectangular pyramid D.cone
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Platonic Solids
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Identify the solid A.cone B.cylinder C.pyramid D.polyhedron
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Identify the solid A.triangular pyramid B.pentagonal prism C.rectangular prism D.square pyramid
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What is a polyhedron? A polyhedron is a solid whose faces are polygons. How are polyhedrons classified? Polyhedrons are named by the shape of their bases.
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Assignment 1-7 Page 70, 1, 2, 6-16, skip 12
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