Chapter 2 Flashcards
Ray
The union of a half-line and its origin. It extends in only one direction
(2.1)
Half-line
The set of all points on a line on a given side of a given point of the line
(2.1)
Half-plane
A subset of a plane consisting of all points on a given side of a line in a plane. (2.3)
Edge of a half-plane
The line that separates the plane into two half-planes. The line is not part of either half-plane. (2.3)
Opposite half-planes
Are the two half-planes that are separated by a particular line of the plane (2.3)
Angle
The union of two distinct rays with a common endpoint (2.3)
Sides of an angle
The two rays that form the angle (2.3)
Vertex of an angle
Is the common endpoint(origin) of the two rays (2.3)
Interior of an angle
Inside of the vertex (2.3)
Exterior of an angle
Outside of the vertex (2.3)
A triangle
Surface
A connected set of points in space having only the thickness of a point (2.6)
Sphere
A surface in space consisting of the set of all points at a given distance from a given point (2.6)
Center of a sphere
The given point (2.6)
Radius of a sphere
A segment that connects a point of the sphere with the center (2.6)
Closed surface
A surface with a finite size that divides other points in space into an interior and exterior (2.6)
Solid
The union of a closed surface and its interior (2.6)
Cone
The union of a region and all the segments that connect the boundary
of the region with a specific noncoplanar point (2.6)
Cylinder
The union of the two regions of the same size and shape in different parallel planes, and the set of all segments that join corresponding points on the boundaries of the regions (2.6)
Prism
A cylinder with polygonal regions as bases (2.6)
Pyramid
A cone with a polygonal region as its base (2.6)
Polyhedron
A closed surface made up of polygonal regions (2.7)
Face of a polyhedron
One of the polygonal regions that form the surface of the polyhedron
Regular polyhedron
A convex polyhedron having two properties
(1) . All faces are identical (same size and shape) and
(2) . The same number of edges meet at each vertex