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# Geometry Chapter 12

### McDougal Littell Vocab.

Question | Answer |
---|---|

A solid that is bounded by polygons, called faces, that enclose a single region of space. | Polyhedron |

The polygons that enclose the polyhedron | Face |

A line segment formed by the intersection of two faces of a polyhedron. | Edge |

A point where three or more edges of a polyhedron meet. | Vertex |

A polyhedron whose faces are all congruent regular polygons. | Regular Polyhedron |

A polyhedron such that any two points on its surface can be connected by a line segment that lies entirely inside or on the polyhedron. | Convex |

The intersection of a plane and a solid. | Cross Section |

Five regular polyhedra, named after the Greek mathematician and philosopher Plato, including a regular tetrahedron, a cube, a regular octahedron, a regular dodecahedron, and a regular icosahedron. | Platonic Solids |

A polyhedron with four faces. | Tetrahedron |

A polyhedron with eight faces. | Octahedron |

A polyhedron with twelve faces. | Dodecahedron |

A polyhedron with twenty faces. | Icosahedron |

A polyhedron with two congruent faces, called bases, that lie in parallel planes. The other faces, called lateral faces, are parallelogram formed by connecting the corresponding vertices of the bases. | Prism |

On a prism, these are the faces that have only TWO of the same polygonal shape. On a pyramid, these are the faces that have only ONE polygonal shape. | Bases |

These are the faces that connect the two bases. | Lateral Faces |

A prism whose lateral edges are perpendicular to both bases. | Right Prism |

A prism whose lateral edges are not perpendicular to the bases. | Oblique Prism |

The sum of the areas of its faces. | Surface Area of a Polyhedron |

The sum of the areas of the lateral faces of a polyhedron. | Lateral Area of a Polyhedron |

A two-dimensional representation of all the faces of a polyhedron. | Net |

A solid with congruent circular bases that lie in parallel planes. | Cylinder |

A cylinder such that the segment joining the centers of the bases are perpendicular to the bases. | Right Cylinder |

The area of the curved surface of a cylinder. | Lateral Area of a Cylinder |

The sum of the lateral area of the cylinder and the areas of the two bases. | Surface Area of a Cylinder |

A polyhedron in which the bases is a polygon and the lateral faces are triangles with a common vertex. | Pyramid |

A pyramid such that the base is a regular polygon and the segment from the vertex to the center of the base is perpendicular to the base. | Regular Pyramid |

A solid with a circular base and a vertex that is not in the same plane as the base. | Circular Cone |

The area of the curved surface of a cone. | Lateral Surface of a Cone |

A cone with a vertex that lies directly above the center of the base. | Right Cone |

The number of cubic units contained in the interior of a solid. | Volume of a Solid |

The locus of points in space that are a given distance form a point, called the center of the sphere. | Sphere |

The point that is equidistant to every point on the sphere. | Center of a Sphere |

A segment from the center of a sphere to a point on the sphere. | Radius of a Sphere |

A segment whose endpoints are on the sphere. | Chord of a Sphere |

A chord that contains the center of the sphere. The longest chord of a sphere. | Diameter of a Sphere |

The intersection of a sphere and a plane that contains the center of the sphere. | Great Circle |

Half of a sphere, formed when a great circle separates a sphere into two congruent halves. | Hemisphere |

Two solids with equal ratios of corresponding linear measures, such as heights or radii. | Similar Solids |

A solid that is bounded by polygons, called faces, that enclose a single region of space. | Polyhedron |

The polygons that enclose the polyhedron | Face |

A line segment formed by the intersection of two faces of a polyhedron. | Edge |

A point where three or more edges of a polyhedron meet. | Vertex |

A polyhedron whose faces are all congruent regular polygons. | Regular Polyhedron |

A polyhedron such that any two points on its surface can be connected by a line segment that lies entirely inside or on the polyhedron. | Convex |

The intersection of a plane and a solid. | Cross Section |

Five regular polyhedra, named after the Greek mathematician and philosopher Plato, including a regular tetrahedron, a cube, a regular octahedron, a regular dodecahedron, and a regular icosahedron. | Platonic Solids |

A polyhedron with four faces. | Tetrahedron |

A polyhedron with eight faces. | Octahedron |

A polyhedron with twelve faces. | Dodecahedron |

A polyhedron with twenty faces. | Icosahedron |

A polyhedron with two congruent faces, called bases, that lie in parallel planes. The other faces, called lateral faces, are parallelogram formed by connecting the corresponding vertices of the bases. | Prism |

On a prism, these are the faces that have only TWO of the same polygonal shape. On a pyramid, these are the faces that have only ONE polygonal shape. | Bases |

These are the faces that connect the two bases. | Lateral Faces |

A prism whose lateral edges are perpendicular to both bases. | Right Prism |

A prism whose lateral edges are not perpendicular to the bases. | Oblique Prism |

The sum of the areas of its faces. | Surface Area of a Polyhedron |

The sum of the areas of the lateral faces of a polyhedron. | Lateral Area of a Polyhedron |

A two-dimensional representation of all the faces of a polyhedron. | Net |

A solid with congruent circular bases that lie in parallel planes. | Cylinder |

A cylinder such that the segment joining the centers of the bases are perpendicular to the bases. | Right Cylinder |

The area of the curved surface of a cylinder. | Lateral Area of a Cylinder |

The sum of the lateral area of the cylinder and the areas of the two bases. | Surface Area of a Cylinder |

A polyhedron in which the bases is a polygon and the lateral faces are triangles with a common vertex. | Pyramid |

A pyramid such that the base is a regular polygon and the segment from the vertex to the center of the base is perpendicular to the base. | Regular Pyramid |

A solid with a circular base and a vertex that is not in the same plane as the base. | Circular Cone |

The area of the curved surface of a cone. | Lateral Surface of a Cone |

A cone with a vertex that lies directly above the center of the base. | Right Cone |

The number of cubic units contained in the interior of a solid. | Volume of a Solid |

The locus of points in space that are a given distance form a point, called the center of the sphere. | Sphere |

The point that is equidistant to every point on the sphere. | Center of a Sphere |

A segment from the center of a sphere to a point on the sphere. | Radius of a Sphere |

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