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Points Undefined term No length, width, or thickness Named with a capital letter
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Lines Undefined term -- No thickness Length that goes on forever in two directions
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Naming Lines
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Intersecting Lines Lines that share a point. Y Lines m and n intersect. Point Y is the point of intersection. m n
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Parallel Lines Lines in the same plane that do not intersect; planes that do not intersect. k j Lines k and j are parallel. k || j k || j
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Skew Lines Lines that do not lie on the same plane. (They do not intersect and are not parallel.)
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Plane Undefined Term No thickness Extends indefinitely in all directions Plane ABC Plane W W
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Parallel Planes Planes not intersect. Planes R and S are parallel. R S
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Collinear Points that are on the same line Collinear Points that are on the same line. A B C Points A,B and C are collinear.
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Non-collinear Points that are not on the same line Non-collinear Points that are not on the same line. A B C Points A,B and C are non - collinear.
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Coplanar Points Points that lie on the same plane. Points P,Q, and R are coplanar. P Q R S
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Non-Coplanar Points Points that do not lie on the same plane. Points P,Q,R and S are non-coplanar. P Q R S
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Coplanar Lines Lines that lie on the same plane. Lines x, y are coplanar. x y
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Postulates Statements that are accepted as true.
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Theorems Statements that are proven to be true.
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Postulate If two lines intersect, their intersection is a point. n m Lines m and n intersect at P. P
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Postulate For any two points, there is exactly one line through the points. A B l Line l is the only line through A and B
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Postulate For any three noncollinear points, there is exactly one plane through the points. A B C Q Points A, B, and C lie in Plane Q.
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Postulate If two lines intersect, then they are coplanar. m n Lines m and n lie in only one plane.
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Postulate If two planes intersect, their intersection is a line. Planes W and Z intersect in line k. W Z k
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Postulate Every plane contains at least three noncollinear points. Plane A contains points X, Y and Z. A X Y Z
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Postulate Every line contains at least two points. A B p Line p contains points A and B.
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Postulate There is exactly one plane containing a given line and a point not on the line. Only one plane contains T and CD. T T C D
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Postulate If a line and a plane intersect, their intersection is a point or a line. I t X w Y Line t intersects Plane x at I. Line w intersects Plane Y at line w.
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Card 7 If two points lie in a plane, then the line containing them lies in the plane. If R and S lie in plane B, then RS lies in plane B. B R SS
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Intersecting Planes Planes that share a line. Planes W and Z intersect. Line k is the line of intersection. W Z k
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Card 6 Space contains at least four noncoplanar points. Points A, B, C, and D are noncoplanar. A BD C
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Source http://www.hbschool.com/glossary/ math/glossary8.html
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