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Geometry Chapter 12

McDougal Littell Vocab.

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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