01.01 Basics Of Geometry

7 September 2022
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Point
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Which undefined term is needed to define an angle? Point Ray Plane Line
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is described generally, not using a formal definition
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A plane is an undefined term because it can be named using three noncollinear points is where other geometric shapes can be constructed is described generally, not using a formal definition is a flat surface that extends indefinitely in all directions
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point
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generally a location
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Line
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a stream of points has no width or depth
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collinear
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points that lie on the same line
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Noncollinear
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points that do not lie on the same line
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Plane
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A flat surface on which a straight line joining any two points would wholly lie.
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Coplanar
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points that lie on the same plane
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Noncoplanar
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points that do not lie on the same plane
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line segment
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part of a line with two endpoints
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ray
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A part of a line, with one endpoint, that continues without end in one direction
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vertex
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The common endpoint of an angle
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angle
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A figure formed by two rays with a common endpoint
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postulate
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a statement that is accepted as true without proof
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Thereoms
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are given pieces of information that seem true but must be proven using postulates
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postulates, definitions, and undefined terms
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What three things are used to prove thereoms true?
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Undefined terms
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will be used as a fundamental elements in defining other defined terms. This term includes point, line, and plane