Chapter 12 Geometry Test
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Created by:
susankritzmacher on June 9, 2011
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19 terms
Terms | Definitions |
|---|---|
 polyhedron | a solid that is bounded by polygons, called faces, that enclose a single region of space |
| edge | an edge of a polyhedron is a line segment formed by the intersection of two faces |
| vertex | a vertex of a polyhedron is a point where three or more edges meet |
| regular | if a polyhedron is regular if all of its faces are congruent regular polygons |
| convex | a polyhedron is convex if any two points on its surface can be connected by a segment that lies entirely inside or on the polyhedron |
| cross section | the of intersection of a plane and a solid |
| platonic solids | -tetrahedron (4 faces) -octahedron (8 faces) -dodecahedron (12 faces) -icosahedron (20 faces) |
| Euler's Theorem | F + V = E + 2 |
| surface area | SA= LA + 2B |
| Volume Congruence Postulate | if two polyhedra are congruent, then they have the same volume |
| Volume Addition Postulate | the volume of a solid is the sum of the volumes of all its non-overlapping parts |
| Cavalieri's Principle | if two solids have the same height and the same cross-sectional area at every level, then they have the same volume |
| volume of a prism or cylinder | V=Bh |
| volume of a pyramid or cone | V=(1/3)Bh |
| sphere | the locus of points in space that are a given distance from a point (center of the sphere) |
| radius of a sphere | a segment from the center to a point on the sphere |
| chord of a sphere | a segment whose endpoints are on the sphere |
| similar solids | two solids with equal ratios of corresponding linear measures, such as heights or radii |
| Similar Solids Theorem | if two similar solids have a scale factor of a:b, then corresponding areas have a ratio of a^2:b^2, and corresponding volumes have a ratio of a^3:b^3 |
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