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A comprehensive list of undefined terms and postulates in Euclidean geometry. It covers various vocabulary related to points, lines, planes, dimensions, and intersections. Understanding these foundational concepts is crucial for mastering geometry.
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Undefined Terms & Postulates (Section 1-6, 1-7)
Undefined Terms in Geometry: Dimensions:
Undefined Terms in Geometry: Point A Dimensions:
Undefined Terms in Geometry: Point A^ (named with a single letter) Dimensions:
Undefined Terms in Geometry: Point Line A (^) (named with a single letter) A
Dimensions:
Undefined Terms in Geometry: Point Line A (^) (named with a single letter) A
(named with any two points on the line) Dimensions:
Undefined Terms in Geometry: Point Line Plane A (^) (named with a single letter) A
(named with any two points on the line) C
Dimensions:
Undefined Terms in Geometry: Point Line Plane A (^) (named with a single letter) A
(named with any two points on the line) C
(named with any three non- collinear points on the plane) Dimensions:
Undefined Terms in Geometry: Point Line Plane A (^) (named with a single letter) A
(named with any two points on the line) C
(named with any three non- collinear points on the plane) Dimensions: One-Dimensional: an object where all points lie in a single line Two-Dimensional: an object where all points lie in a single plane
Undefined Terms in Geometry: Point Line Plane A (^) (named with a single letter) A
(named with any two points on the line) C
(named with any three non- collinear points on the plane) Dimensions: One-Dimensional: an object where all points lie in a single line Two-Dimensional: an object where all points lie in a single plane Three-Dimensional: an object where points lie in multiple planes
Figure: a set of points
Figure: a set of points Space: The set of all points
Figure: a set of points Space: The set of all points Collinear: three or more points that lie on the same line Coplanar: four or more points that lie on the same plane
Figure: a set of points Space: The set of all points Collinear: three or more points that lie on the same line Coplanar: four or more points that lie on the same plane Postulate: a statement that is assumed or generally accepted as true