Geometry Honors Chapter 10

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polyhedron

a three-dimensional figure whose surfaces are polygons

face

Each polygon is a ____ of the polyhedron

edge

a segment that is formed by the intersection of two faces

vertex

a point where three or more edges intersect

net

a two-dimensional pattern that you can fold to form a three-dimensional figure

cube

a polyhedron with six faces, eaqch of which is a square

F + V = E + 2

Euler's Formula

prism

a polyhedron with exactly two congruent, parallel faces

bases

the two congruent, parallel faces, called _____

lateral faces

all of the other faces that are not bases

altitude

a perpendicular segment that joins the planes of the bases

height

the length of an altitude

right prism

In a ____ _____ the lateral faces are rectangles and a lateral edge is an altitude

lateral area

the sum of the areas of the lateral faces

surface area

the sum of the lateral area and the area of the two bases

cylinder

Has two congruent bases and the bases are circles

pyramid

a polyhedron in which one face can by any polygon and the other faces are triangles that meet at a common vertex

altitude

the perpendicular segment from the vertex to the plane of the base

regular pyramid

a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles

slant height

the length of the altitude of a lateral face of the pyramid

lateral area

____ ____ of a pyramid is the sum of the areas of the congruent lateral faces.

volume

the space that a figure occupies

sphere

the set of all points in space equidistant from a given point called the center.

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