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73 Cards in this Set
- Front
- Back
The set of all points on a line on a given side of a given point of the line.
-Does NOT include its origin! |
Half-Line
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Every point divides a line through that point into three disjoint sets: the point and 2 half-lines.
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Line Separation Postulate
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The union of a half-line and its origin. It extends infinitely in one direction from a point.
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Ray
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B is between A and C if ray BC intersect ray BA is point B when A,B, and C are collinear. A-B-C
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Between
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ray BA and ray BC are opposite rays if and only if B is between A and C.
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Opposite Rays
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The set of two points A and B and all the points in between.
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Segment
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A directed line segment.
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Vector
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The subset of a plane consisting of all points on a given side of a line in the plane. (If points P and Q are in the same half-plane, then so is the segment joining them.)
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Half-Plane
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The line that separates the plane into two half-planes (not part of either plane).
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Edge of a Half-Plane
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The two half-planes that are separated by a particular line of the plane.
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Opposite Half-Planes
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Every line divides any plane containing the line into three disjoint sets: the line and two half-planes.
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Plane Separation Postulate
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The union of two distinct rays with a common endpoint.
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Angle
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The intersection of the two half-planes each determined by a side angle and containing the other side (except the vertex).
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Interior of an Angle
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The compliment of the union of the angle and its interior.
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Exterior of an Angle
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The two rays that form the angle.
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Sides of an Angle
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The common endpoint (origin) of the two rays.
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Vertex of an Angle
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The union of three segments that connect three noncollinear points.
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Triangle
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A continuous set of points.
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Curve
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A curve that begins and ends at the same point.
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Closed Curve
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A curve that does not intersect itself (unless the starting and ending points coincide).
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Simple Curve
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A simple curve that is also a closed curve. (no crossover endpoints connect).
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Simple Closed Curve
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The set of all points that are a given distance from a given point in a given plane (the center).
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Circle
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A segment that connects a point on the circle with the center.
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Radius
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A segment with both endpoints on the circle.
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Chord
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A chord that passes through the center of the circle.
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Diameter
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A curve that is a subset of a circle. (a piece of a circle)
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Arc
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The set of all planar points whose distance from the center of the circle is less than the length of the radius.
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Interior of a Circle
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The set of all planar points whose distance from the center is greater than the length of the radius.
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Exterior of a Circle
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Any simple closed curve divides a plane into three disjoint sets: the curve itself, its interior, and its exterior.
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Jordan Curve Theorem
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The union of a simple closed curve and its interior. The curve is called the boundary.
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Region
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A set such that any two of its points determine a segment contained IN the set. (a segment connecting two points will never go on the exterior)
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Convex Set
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A set that is not convex.
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Concave Set
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A simple closed curve that consists only of segments. (no intersections or crossovers) (endpoints meet)
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Polygon
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3-sided polygon
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Triangle
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4-sided polygon
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Quadrilateral
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5-sided polygon
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Pentagon
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6-sided polygon
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Hexagon
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7-sided polygon
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Heptagon
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9-sided polygon
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Nonagon
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10-sided polygon
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Decagon
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11-sided polygon
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Hendecagon
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12-sided polygon
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Dodecagon
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n-sided polygon
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n-gon
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Polygon with sides the same
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Equilateral Polygon
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Polygon with angles the same
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Equiangular Polygon
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An equilateral and equiangular polygon
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Regular Polygon
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Any segment that connects two vertices but is not a side of the polygon
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Diagonal
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A connected set of points in space. (think wrapping paper)
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Surface
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A surface with a finite size that divides other points in space into an interior and exterior.
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Closed Surface
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A surface in space consisting of the set of all points at a given distance from a given point.
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Sphere
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The union of a closed surface and its interior.
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Solid
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Union of a region and all segments that connect the boundary of a region with a specific noncoplanar point.
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Cone
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Cones with a circle for its base. (ice cream cone)
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Circular Cone
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A cone with a polygonal region as its base.
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Pyramid
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A cone/pyramid is right if the vertex is centered above the base.
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Right
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A cone/pyramid is oblique if it is not right. (vertex is NOT centered above the base)
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Oblique
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The union of 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.
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Cylinder
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8-sided polygon
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Octagon
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A cylinder with circles for its bases
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Circular Cylinder
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A cylinder with polygonal regions as bases. (straight, flat edges)
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Prism
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Closed surface made up of polygonal regions.
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Polyhedron
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One of the polygonal regions that form the surface of the polyhedron.
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Faces
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Intersection of adjacent faces.
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Edges
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A polyhedron that has NO holes.
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Simple Polyhedra
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A convex polyhedron where all faces are identical AND the same number of edges meet at each vertex.
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Regular Polyhedron
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4-sided polyhedron
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Tetrahedron
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5-sided polyhedron
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Pentahedron
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6-sided polyhedron
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Hexahedron
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7-sided polyhedron
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Heptahedron
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8-sided polyhedron
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Octahedron
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10-sided polyhedron
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Decahedron
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12-sided polyhedron
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Dodecahedron
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20-sided polyhedron
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Icosahedron
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