Term
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Definition
| Points that lie on the same line |
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Term
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Definition
| Points that do not lie on the same line |
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Term
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Definition
| Lines that intersect at a single point |
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Term
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Definition
| Points that lie in/on the same plane |
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Term
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Definition
| Points that do not lie in/on the same plane |
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Term
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Definition
| Lines that lay in the same plane |
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Term
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Definition
| Coplanar lines that do not intersect |
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Term
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Definition
| Lines that are not coplanar |
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Term
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Definition
| Planes in space that do not intersect |
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Term
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Definition
| A statement which can be proved by a logical progression of defenitions, postulates, and previously proven theorems. |
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Term
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Definition
| The set of all points on a line on a given point of the line |
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Term
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Definition
| The union of a half line and its origin |
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Term
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Definition
| A subset of a plane consisting of all points on a given side of a line in the plane. If points A and B are in the same plane, then so is the segment joining them. |
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Term
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Definition
| The line that seperates the plane in two half planes. The line is not part of either half-plane. |
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Term
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Definition
| The two half planes that are seperated by a particular line of the plane. If points A and B are in opposite half-planes then the segment joining them must intersect the edge of the half plane. |
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Term
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Definition
| The union of two distinct rays that form the angle |
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Term
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Definition
| The two rays that form an angle |
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Term
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Definition
| The common endpoint (origin) of the two rays |
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Term
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Definition
| The intersection of two half planes each determined by a side of the angle and containing the other side (except for the vertex) |
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Term
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Definition
| The complement of the union of the angle and its interior |
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Term
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Definition
| The unioon of segments that connect three noncollinear points. |
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Term
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Definition
| A curve that begins and ends at the same point |
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Term
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Definition
| A curve that does not intersect itself (unless the starting and ending points coincide) |
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Term
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Definition
| A simple curve that is also a closed curve |
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Term
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Definition
| Set of all points that are a given distance from a given point in a given plane |
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Term
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Definition
| The given point in the plane |
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Term
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Definition
| A segment that connects a point on the circle with the center |
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Term
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Definition
| A segment having both endpoints on the circle |
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Term
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Definition
| A chord that passes through the center of a circle |
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Term
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Definition
| A curve that is a subset of a circle |
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Term
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Definition
| Set of all planar points whose distance from the center is greater than the length of the radius |
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Term
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Definition
| Set of all planar points whose distance from the center is greater than the length of the radius |
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Term
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Definition
| Union of a simple closed curve and its interior. The curve is the boundary of any region. |
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Term
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Definition
| A set in which any of its two points determine a segment contained in a set (shape) |
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Term
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Definition
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Term
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Definition
| A simple closed curve that consists of only segments |
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Term
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Definition
| One of the segments that defines a polygon |
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Term
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Definition
| An endpoint on the side of the polygon |
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Term
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Definition
| An angle with two properties : its vertex is a vertex of the polygon and each side of the angle contains a side of the polygon |
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Term
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Definition
| A polygon in which all sides have equal lengths |
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Term
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Definition
| A polygon in which all angles have the same measurements |
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Term
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Definition
| A polygon that is both equilateral nd equiangular |
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Term
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Definition
| Any segment in a polygon that connects two vertices but is not a side of the polygon |
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Term
| Interior of a convex polygon |
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Definition
| The intersection of the interiors of its angles |
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Term
| Exterior of a convex polygon |
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Definition
| The union of exteriors of angles |
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Term
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Definition
| A connected set of points in space having only thickness |
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Term
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Definition
| A surface in space consisting of the set of all points at a given distance from a given point |
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Term
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Definition
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Term
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Definition
| A segment that connects a point of a sphere with the center |
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Term
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Definition
| A surface with a finite size that divides other points in space into an interior and an exterior |
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Term
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Definition
| Union of a closed surface and its interior |
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Term
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Definition
| The union of a region and all segments that connect the boundary of the region with a specific noncoplanar point |
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Term
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Definition
| The union of two regions of the same size and shape and place in different parallel planes, and the set of all segments that join corresponding points on the boundaries of the regions |
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Term
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Definition
| A closed surface made up of polygonal regions |
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Term
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Definition
| One of the polygonal regions that form the surface of the polyhedron |
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Term
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Definition
| Convex polyhedron having two properties : All faces are identical (same size and shape) and the same number of edges meet at each vertex |
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Term
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Definition
| A relation that is reflexive, symmetric, and transitive |
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